{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.7.3"
    },
    "colab": {
      "name": "ch1_pca_relative_value.ipynb",
      "provenance": [],
      "collapsed_sections": [
        "YfM6CLXApAPS"
      ],
      "include_colab_link": true
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/letianzj/QuantResearch/blob/master/notebooks/ch1_pca_relative_value.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yQJPZ9fj22uO"
      },
      "source": [
        "# Yield Curve PCA\n",
        "\n",
        "There are three basic movements in yield curve: \n",
        "1. level or a parallel shift; \n",
        "2. slope, i.e., a flattening or steepening; and \n",
        "3. curvature, i.e., hump or butterfly.\n",
        "\n",
        "PCA formalizes this viewpoint.\n",
        "\n",
        "PCA can be applied to:\n",
        "1. trade screening and construction;\n",
        "2. risk assessment and return attribution;\n",
        "3. scenarios analysis;\n",
        "4. curve-neutral hedge.\n",
        "\n",
        "* Accompanying notebook for [Chapter One](https://letianzj.gitbook.io/systematic-investing/products_and_methodologies/fixed_income)\n",
        "* comments are placed below the cell."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "AetRPAok49MD"
      },
      "source": [
        "## 1. Data preparation"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "6mDHDxRU26gN"
      },
      "source": [
        "%matplotlib inline\n",
        "import os\n",
        "import io\n",
        "import time\n",
        "from datetime import date, datetime, timedelta\n",
        "import pandas as pd\n",
        "import numpy as np\n",
        "import scipy\n",
        "import pandas_datareader.data as pdr\n",
        "from pandas_datareader.fred import FredReader\n",
        "import matplotlib.pyplot as plt\n",
        "import seaborn as sns"
      ],
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zEdOv27GLAH2"
      },
      "source": [
        "# download CMT treasury curves from Fred\n",
        "codes = ['DGS1MO', 'DGS3MO', 'DGS6MO', 'DGS1', 'DGS2', 'DGS3', 'DGS5', 'DGS7', 'DGS10', 'DGS20', 'DGS30']\n",
        "start_date = datetime(2000, 1, 1)\n",
        "# end_date = datetime.today()\n",
        "end_date = datetime(2020,12,31)\n",
        "df = pd.DataFrame()\n",
        "\n",
        "for code in codes:\n",
        "    reader = FredReader(code, start_date, end_date)\n",
        "    df0 = reader.read()\n",
        "    df = df.merge(df0, how='outer', left_index=True, right_index=True, sort=False)\n",
        "    reader.close()\n",
        "df.dropna(axis = 0, inplace = True)\n",
        "df = df['2006':]"
      ],
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_caN2dYXLAH3",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 227
        },
        "outputId": "cace025a-6970-441a-bc0f-1422fedb8e73"
      },
      "source": [
        "df.tail(5)"
      ],
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>DGS1MO</th>\n",
              "      <th>DGS3MO</th>\n",
              "      <th>DGS6MO</th>\n",
              "      <th>DGS1</th>\n",
              "      <th>DGS2</th>\n",
              "      <th>DGS3</th>\n",
              "      <th>DGS5</th>\n",
              "      <th>DGS7</th>\n",
              "      <th>DGS10</th>\n",
              "      <th>DGS20</th>\n",
              "      <th>DGS30</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DATE</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>2020-12-24</th>\n",
              "      <td>0.09</td>\n",
              "      <td>0.09</td>\n",
              "      <td>0.09</td>\n",
              "      <td>0.10</td>\n",
              "      <td>0.13</td>\n",
              "      <td>0.17</td>\n",
              "      <td>0.37</td>\n",
              "      <td>0.66</td>\n",
              "      <td>0.94</td>\n",
              "      <td>1.46</td>\n",
              "      <td>1.66</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2020-12-28</th>\n",
              "      <td>0.09</td>\n",
              "      <td>0.11</td>\n",
              "      <td>0.11</td>\n",
              "      <td>0.11</td>\n",
              "      <td>0.13</td>\n",
              "      <td>0.17</td>\n",
              "      <td>0.38</td>\n",
              "      <td>0.65</td>\n",
              "      <td>0.94</td>\n",
              "      <td>1.46</td>\n",
              "      <td>1.67</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2020-12-29</th>\n",
              "      <td>0.08</td>\n",
              "      <td>0.10</td>\n",
              "      <td>0.12</td>\n",
              "      <td>0.11</td>\n",
              "      <td>0.12</td>\n",
              "      <td>0.17</td>\n",
              "      <td>0.37</td>\n",
              "      <td>0.66</td>\n",
              "      <td>0.94</td>\n",
              "      <td>1.47</td>\n",
              "      <td>1.67</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2020-12-30</th>\n",
              "      <td>0.06</td>\n",
              "      <td>0.08</td>\n",
              "      <td>0.09</td>\n",
              "      <td>0.12</td>\n",
              "      <td>0.12</td>\n",
              "      <td>0.17</td>\n",
              "      <td>0.37</td>\n",
              "      <td>0.66</td>\n",
              "      <td>0.93</td>\n",
              "      <td>1.46</td>\n",
              "      <td>1.66</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2020-12-31</th>\n",
              "      <td>0.08</td>\n",
              "      <td>0.09</td>\n",
              "      <td>0.09</td>\n",
              "      <td>0.10</td>\n",
              "      <td>0.13</td>\n",
              "      <td>0.17</td>\n",
              "      <td>0.36</td>\n",
              "      <td>0.65</td>\n",
              "      <td>0.93</td>\n",
              "      <td>1.45</td>\n",
              "      <td>1.65</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "            DGS1MO  DGS3MO  DGS6MO  DGS1  DGS2  ...  DGS5  DGS7  DGS10  DGS20  DGS30\n",
              "DATE                                            ...                                 \n",
              "2020-12-24    0.09    0.09    0.09  0.10  0.13  ...  0.37  0.66   0.94   1.46   1.66\n",
              "2020-12-28    0.09    0.11    0.11  0.11  0.13  ...  0.38  0.65   0.94   1.46   1.67\n",
              "2020-12-29    0.08    0.10    0.12  0.11  0.12  ...  0.37  0.66   0.94   1.47   1.67\n",
              "2020-12-30    0.06    0.08    0.09  0.12  0.12  ...  0.37  0.66   0.93   1.46   1.66\n",
              "2020-12-31    0.08    0.09    0.09  0.10  0.13  ...  0.36  0.65   0.93   1.45   1.65\n",
              "\n",
              "[5 rows x 11 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 3
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "tFVefNioLAH4",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 483
        },
        "outputId": "e6bfde9e-f177-430a-dfc0-3983692b673b"
      },
      "source": [
        "# view the yield curve\n",
        "plt.figure(figsize=(15,8))\n",
        "plt.plot(df)\n",
        "plt.show()"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1080x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JF0tFGAWLAH4"
      },
      "source": [
        "# correlation among tenors\n",
        "# sns.pairplot(df)"
      ],
      "execution_count": 5,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 227
        },
        "id": "vGiGSft_7QNe",
        "outputId": "dc4a8a04-fe45-4da4-b47e-202e205ecf0e"
      },
      "source": [
        "df_weekly = df.resample(\"W\").last()\n",
        "df_weekly.tail()"
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
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              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>DGS1MO</th>\n",
              "      <th>DGS3MO</th>\n",
              "      <th>DGS6MO</th>\n",
              "      <th>DGS1</th>\n",
              "      <th>DGS2</th>\n",
              "      <th>DGS3</th>\n",
              "      <th>DGS5</th>\n",
              "      <th>DGS7</th>\n",
              "      <th>DGS10</th>\n",
              "      <th>DGS20</th>\n",
              "      <th>DGS30</th>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DATE</th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "      <th></th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>2020-12-06</th>\n",
              "      <td>0.07</td>\n",
              "      <td>0.09</td>\n",
              "      <td>0.10</td>\n",
              "      <td>0.11</td>\n",
              "      <td>0.16</td>\n",
              "      <td>0.21</td>\n",
              "      <td>0.42</td>\n",
              "      <td>0.70</td>\n",
              "      <td>0.97</td>\n",
              "      <td>1.53</td>\n",
              "      <td>1.73</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2020-12-13</th>\n",
              "      <td>0.08</td>\n",
              "      <td>0.08</td>\n",
              "      <td>0.08</td>\n",
              "      <td>0.10</td>\n",
              "      <td>0.11</td>\n",
              "      <td>0.18</td>\n",
              "      <td>0.37</td>\n",
              "      <td>0.63</td>\n",
              "      <td>0.90</td>\n",
              "      <td>1.42</td>\n",
              "      <td>1.63</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2020-12-20</th>\n",
              "      <td>0.08</td>\n",
              "      <td>0.08</td>\n",
              "      <td>0.09</td>\n",
              "      <td>0.09</td>\n",
              "      <td>0.13</td>\n",
              "      <td>0.19</td>\n",
              "      <td>0.39</td>\n",
              "      <td>0.67</td>\n",
              "      <td>0.95</td>\n",
              "      <td>1.49</td>\n",
              "      <td>1.70</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2020-12-27</th>\n",
              "      <td>0.09</td>\n",
              "      <td>0.09</td>\n",
              "      <td>0.09</td>\n",
              "      <td>0.10</td>\n",
              "      <td>0.13</td>\n",
              "      <td>0.17</td>\n",
              "      <td>0.37</td>\n",
              "      <td>0.66</td>\n",
              "      <td>0.94</td>\n",
              "      <td>1.46</td>\n",
              "      <td>1.66</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2021-01-03</th>\n",
              "      <td>0.08</td>\n",
              "      <td>0.09</td>\n",
              "      <td>0.09</td>\n",
              "      <td>0.10</td>\n",
              "      <td>0.13</td>\n",
              "      <td>0.17</td>\n",
              "      <td>0.36</td>\n",
              "      <td>0.65</td>\n",
              "      <td>0.93</td>\n",
              "      <td>1.45</td>\n",
              "      <td>1.65</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "            DGS1MO  DGS3MO  DGS6MO  DGS1  DGS2  ...  DGS5  DGS7  DGS10  DGS20  DGS30\n",
              "DATE                                            ...                                 \n",
              "2020-12-06    0.07    0.09    0.10  0.11  0.16  ...  0.42  0.70   0.97   1.53   1.73\n",
              "2020-12-13    0.08    0.08    0.08  0.10  0.11  ...  0.37  0.63   0.90   1.42   1.63\n",
              "2020-12-20    0.08    0.08    0.09  0.09  0.13  ...  0.39  0.67   0.95   1.49   1.70\n",
              "2020-12-27    0.09    0.09    0.09  0.10  0.13  ...  0.37  0.66   0.94   1.46   1.66\n",
              "2021-01-03    0.08    0.09    0.09  0.10  0.13  ...  0.36  0.65   0.93   1.45   1.65\n",
              "\n",
              "[5 rows x 11 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 6
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "B55eP1KvLAH5",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "2af58eb2-77d9-4326-c962-a0cf0a3cdf4c"
      },
      "source": [
        "df_weekly_centered = df_weekly.sub(df_weekly.mean())\n",
        "df_weekly_diff = df_weekly.diff()\n",
        "df_weekly_diff.dropna(inplace=True)\n",
        "df_weekly_diff_centered = df_weekly_diff.sub(df_weekly_diff.mean())\n",
        "df_weekly.shape, df_weekly_diff.shape"
      ],
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "((783, 11), (782, 11))"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 7
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "lR6-ZlOILXnf",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 377
        },
        "outputId": "a95fe2dc-2b0c-43fb-97df-01ee7769d21c"
      },
      "source": [
        "# covariance\n",
        "df_weekly_diff.cov()"
      ],
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
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              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>DGS1MO</th>\n",
              "      <th>DGS3MO</th>\n",
              "      <th>DGS6MO</th>\n",
              "      <th>DGS1</th>\n",
              "      <th>DGS2</th>\n",
              "      <th>DGS3</th>\n",
              "      <th>DGS5</th>\n",
              "      <th>DGS7</th>\n",
              "      <th>DGS10</th>\n",
              "      <th>DGS20</th>\n",
              "      <th>DGS30</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>DGS1MO</th>\n",
              "      <td>0.019167</td>\n",
              "      <td>0.009983</td>\n",
              "      <td>0.005387</td>\n",
              "      <td>0.004291</td>\n",
              "      <td>0.002334</td>\n",
              "      <td>0.002013</td>\n",
              "      <td>0.001763</td>\n",
              "      <td>0.001464</td>\n",
              "      <td>0.001069</td>\n",
              "      <td>0.000743</td>\n",
              "      <td>0.000696</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS3MO</th>\n",
              "      <td>0.009983</td>\n",
              "      <td>0.008384</td>\n",
              "      <td>0.005527</td>\n",
              "      <td>0.004424</td>\n",
              "      <td>0.002884</td>\n",
              "      <td>0.002720</td>\n",
              "      <td>0.002451</td>\n",
              "      <td>0.002156</td>\n",
              "      <td>0.001813</td>\n",
              "      <td>0.001555</td>\n",
              "      <td>0.001518</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS6MO</th>\n",
              "      <td>0.005387</td>\n",
              "      <td>0.005527</td>\n",
              "      <td>0.005567</td>\n",
              "      <td>0.004776</td>\n",
              "      <td>0.003786</td>\n",
              "      <td>0.003731</td>\n",
              "      <td>0.003562</td>\n",
              "      <td>0.003250</td>\n",
              "      <td>0.002860</td>\n",
              "      <td>0.002409</td>\n",
              "      <td>0.002357</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS1</th>\n",
              "      <td>0.004291</td>\n",
              "      <td>0.004424</td>\n",
              "      <td>0.004776</td>\n",
              "      <td>0.005399</td>\n",
              "      <td>0.004988</td>\n",
              "      <td>0.005119</td>\n",
              "      <td>0.005011</td>\n",
              "      <td>0.004647</td>\n",
              "      <td>0.004017</td>\n",
              "      <td>0.003413</td>\n",
              "      <td>0.003212</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS2</th>\n",
              "      <td>0.002334</td>\n",
              "      <td>0.002884</td>\n",
              "      <td>0.003786</td>\n",
              "      <td>0.004988</td>\n",
              "      <td>0.008068</td>\n",
              "      <td>0.008559</td>\n",
              "      <td>0.008978</td>\n",
              "      <td>0.008454</td>\n",
              "      <td>0.007353</td>\n",
              "      <td>0.006143</td>\n",
              "      <td>0.005593</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS3</th>\n",
              "      <td>0.002013</td>\n",
              "      <td>0.002720</td>\n",
              "      <td>0.003731</td>\n",
              "      <td>0.005119</td>\n",
              "      <td>0.008559</td>\n",
              "      <td>0.009975</td>\n",
              "      <td>0.010819</td>\n",
              "      <td>0.010533</td>\n",
              "      <td>0.009381</td>\n",
              "      <td>0.008055</td>\n",
              "      <td>0.007361</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS5</th>\n",
              "      <td>0.001763</td>\n",
              "      <td>0.002451</td>\n",
              "      <td>0.003562</td>\n",
              "      <td>0.005011</td>\n",
              "      <td>0.008978</td>\n",
              "      <td>0.010819</td>\n",
              "      <td>0.013197</td>\n",
              "      <td>0.013420</td>\n",
              "      <td>0.012291</td>\n",
              "      <td>0.010856</td>\n",
              "      <td>0.009954</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS7</th>\n",
              "      <td>0.001464</td>\n",
              "      <td>0.002156</td>\n",
              "      <td>0.003250</td>\n",
              "      <td>0.004647</td>\n",
              "      <td>0.008454</td>\n",
              "      <td>0.010533</td>\n",
              "      <td>0.013420</td>\n",
              "      <td>0.014472</td>\n",
              "      <td>0.013601</td>\n",
              "      <td>0.012373</td>\n",
              "      <td>0.011495</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS10</th>\n",
              "      <td>0.001069</td>\n",
              "      <td>0.001813</td>\n",
              "      <td>0.002860</td>\n",
              "      <td>0.004017</td>\n",
              "      <td>0.007353</td>\n",
              "      <td>0.009381</td>\n",
              "      <td>0.012291</td>\n",
              "      <td>0.013601</td>\n",
              "      <td>0.013574</td>\n",
              "      <td>0.012874</td>\n",
              "      <td>0.012209</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS20</th>\n",
              "      <td>0.000743</td>\n",
              "      <td>0.001555</td>\n",
              "      <td>0.002409</td>\n",
              "      <td>0.003413</td>\n",
              "      <td>0.006143</td>\n",
              "      <td>0.008055</td>\n",
              "      <td>0.010856</td>\n",
              "      <td>0.012373</td>\n",
              "      <td>0.012874</td>\n",
              "      <td>0.013275</td>\n",
              "      <td>0.012838</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS30</th>\n",
              "      <td>0.000696</td>\n",
              "      <td>0.001518</td>\n",
              "      <td>0.002357</td>\n",
              "      <td>0.003212</td>\n",
              "      <td>0.005593</td>\n",
              "      <td>0.007361</td>\n",
              "      <td>0.009954</td>\n",
              "      <td>0.011495</td>\n",
              "      <td>0.012209</td>\n",
              "      <td>0.012838</td>\n",
              "      <td>0.012890</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "          DGS1MO    DGS3MO    DGS6MO  ...     DGS10     DGS20     DGS30\n",
              "DGS1MO  0.019167  0.009983  0.005387  ...  0.001069  0.000743  0.000696\n",
              "DGS3MO  0.009983  0.008384  0.005527  ...  0.001813  0.001555  0.001518\n",
              "DGS6MO  0.005387  0.005527  0.005567  ...  0.002860  0.002409  0.002357\n",
              "DGS1    0.004291  0.004424  0.004776  ...  0.004017  0.003413  0.003212\n",
              "DGS2    0.002334  0.002884  0.003786  ...  0.007353  0.006143  0.005593\n",
              "DGS3    0.002013  0.002720  0.003731  ...  0.009381  0.008055  0.007361\n",
              "DGS5    0.001763  0.002451  0.003562  ...  0.012291  0.010856  0.009954\n",
              "DGS7    0.001464  0.002156  0.003250  ...  0.013601  0.012373  0.011495\n",
              "DGS10   0.001069  0.001813  0.002860  ...  0.013574  0.012874  0.012209\n",
              "DGS20   0.000743  0.001555  0.002409  ...  0.012874  0.013275  0.012838\n",
              "DGS30   0.000696  0.001518  0.002357  ...  0.012209  0.012838  0.012890\n",
              "\n",
              "[11 rows x 11 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 8
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "hmctuNDNLAH5",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 377
        },
        "outputId": "c61d7515-6682-4000-da1a-3d555b1ed3be"
      },
      "source": [
        "# correlation\n",
        "df_weekly_diff.corr()"
      ],
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
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              "\n",
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              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>DGS1MO</th>\n",
              "      <th>DGS3MO</th>\n",
              "      <th>DGS6MO</th>\n",
              "      <th>DGS1</th>\n",
              "      <th>DGS2</th>\n",
              "      <th>DGS3</th>\n",
              "      <th>DGS5</th>\n",
              "      <th>DGS7</th>\n",
              "      <th>DGS10</th>\n",
              "      <th>DGS20</th>\n",
              "      <th>DGS30</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>DGS1MO</th>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.787477</td>\n",
              "      <td>0.521479</td>\n",
              "      <td>0.421829</td>\n",
              "      <td>0.187672</td>\n",
              "      <td>0.145546</td>\n",
              "      <td>0.110822</td>\n",
              "      <td>0.087923</td>\n",
              "      <td>0.066302</td>\n",
              "      <td>0.046598</td>\n",
              "      <td>0.044286</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS3MO</th>\n",
              "      <td>0.787477</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.809054</td>\n",
              "      <td>0.657596</td>\n",
              "      <td>0.350641</td>\n",
              "      <td>0.297437</td>\n",
              "      <td>0.233021</td>\n",
              "      <td>0.195709</td>\n",
              "      <td>0.169904</td>\n",
              "      <td>0.147428</td>\n",
              "      <td>0.145992</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS6MO</th>\n",
              "      <td>0.521479</td>\n",
              "      <td>0.809054</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.871084</td>\n",
              "      <td>0.564924</td>\n",
              "      <td>0.500653</td>\n",
              "      <td>0.415533</td>\n",
              "      <td>0.362070</td>\n",
              "      <td>0.329003</td>\n",
              "      <td>0.280243</td>\n",
              "      <td>0.278255</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS1</th>\n",
              "      <td>0.421829</td>\n",
              "      <td>0.657596</td>\n",
              "      <td>0.871084</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.755684</td>\n",
              "      <td>0.697445</td>\n",
              "      <td>0.593618</td>\n",
              "      <td>0.525682</td>\n",
              "      <td>0.469193</td>\n",
              "      <td>0.403153</td>\n",
              "      <td>0.384966</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS2</th>\n",
              "      <td>0.187672</td>\n",
              "      <td>0.350641</td>\n",
              "      <td>0.564924</td>\n",
              "      <td>0.755684</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.954097</td>\n",
              "      <td>0.870061</td>\n",
              "      <td>0.782327</td>\n",
              "      <td>0.702655</td>\n",
              "      <td>0.593566</td>\n",
              "      <td>0.548509</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS3</th>\n",
              "      <td>0.145546</td>\n",
              "      <td>0.297437</td>\n",
              "      <td>0.500653</td>\n",
              "      <td>0.697445</td>\n",
              "      <td>0.954097</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.942980</td>\n",
              "      <td>0.876639</td>\n",
              "      <td>0.806219</td>\n",
              "      <td>0.699992</td>\n",
              "      <td>0.649128</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS5</th>\n",
              "      <td>0.110822</td>\n",
              "      <td>0.233021</td>\n",
              "      <td>0.415533</td>\n",
              "      <td>0.593618</td>\n",
              "      <td>0.870061</td>\n",
              "      <td>0.942980</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.971078</td>\n",
              "      <td>0.918296</td>\n",
              "      <td>0.820225</td>\n",
              "      <td>0.763211</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS7</th>\n",
              "      <td>0.087923</td>\n",
              "      <td>0.195709</td>\n",
              "      <td>0.362070</td>\n",
              "      <td>0.525682</td>\n",
              "      <td>0.782327</td>\n",
              "      <td>0.876639</td>\n",
              "      <td>0.971078</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.970365</td>\n",
              "      <td>0.892653</td>\n",
              "      <td>0.841632</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS10</th>\n",
              "      <td>0.066302</td>\n",
              "      <td>0.169904</td>\n",
              "      <td>0.329003</td>\n",
              "      <td>0.469193</td>\n",
              "      <td>0.702655</td>\n",
              "      <td>0.806219</td>\n",
              "      <td>0.918296</td>\n",
              "      <td>0.970365</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.959046</td>\n",
              "      <td>0.923016</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS20</th>\n",
              "      <td>0.046598</td>\n",
              "      <td>0.147428</td>\n",
              "      <td>0.280243</td>\n",
              "      <td>0.403153</td>\n",
              "      <td>0.593566</td>\n",
              "      <td>0.699992</td>\n",
              "      <td>0.820225</td>\n",
              "      <td>0.892653</td>\n",
              "      <td>0.959046</td>\n",
              "      <td>1.000000</td>\n",
              "      <td>0.981467</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>DGS30</th>\n",
              "      <td>0.044286</td>\n",
              "      <td>0.145992</td>\n",
              "      <td>0.278255</td>\n",
              "      <td>0.384966</td>\n",
              "      <td>0.548509</td>\n",
              "      <td>0.649128</td>\n",
              "      <td>0.763211</td>\n",
              "      <td>0.841632</td>\n",
              "      <td>0.923016</td>\n",
              "      <td>0.981467</td>\n",
              "      <td>1.000000</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "          DGS1MO    DGS3MO    DGS6MO  ...     DGS10     DGS20     DGS30\n",
              "DGS1MO  1.000000  0.787477  0.521479  ...  0.066302  0.046598  0.044286\n",
              "DGS3MO  0.787477  1.000000  0.809054  ...  0.169904  0.147428  0.145992\n",
              "DGS6MO  0.521479  0.809054  1.000000  ...  0.329003  0.280243  0.278255\n",
              "DGS1    0.421829  0.657596  0.871084  ...  0.469193  0.403153  0.384966\n",
              "DGS2    0.187672  0.350641  0.564924  ...  0.702655  0.593566  0.548509\n",
              "DGS3    0.145546  0.297437  0.500653  ...  0.806219  0.699992  0.649128\n",
              "DGS5    0.110822  0.233021  0.415533  ...  0.918296  0.820225  0.763211\n",
              "DGS7    0.087923  0.195709  0.362070  ...  0.970365  0.892653  0.841632\n",
              "DGS10   0.066302  0.169904  0.329003  ...  1.000000  0.959046  0.923016\n",
              "DGS20   0.046598  0.147428  0.280243  ...  0.959046  1.000000  0.981467\n",
              "DGS30   0.044286  0.145992  0.278255  ...  0.923016  0.981467  1.000000\n",
              "\n",
              "[11 rows x 11 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 9
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "qw8eaBPC8Hzx"
      },
      "source": [
        "Correlation looks reasonable. The further apart between two tenors, the lower their correlation would be."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "_UZ1YfTR7FDy"
      },
      "source": [
        "## 2. Fit PCA"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "NvKaYvNRLAH6"
      },
      "source": [
        "# PCA fit\n",
        "from sklearn.decomposition import PCA\n",
        "pca_level = PCA().fit(df_weekly)        # call fit or fit_transform\n",
        "pca_change = PCA().fit(df_weekly_diff)"
      ],
      "execution_count": 10,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "nDmiuQB3pH2S"
      },
      "source": [
        "Level is used to find the trading signals; change is used to find weights (hedge ratios)."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "m1T51t9GLAH6",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "6960211f-1de1-4e0c-d4cc-8096a89352dc"
      },
      "source": [
        "print(pca_change.explained_variance_)        # eigenvalues\n",
        "print(pca_change.explained_variance_ratio_)     # normalized eigenvalues (sum to 1)\n",
        "print(np.cumsum(pca_change.explained_variance_ratio_))"
      ],
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "[0.07872586 0.02802428 0.00926885 0.00443283 0.00143389 0.00093625\n",
            " 0.00040641 0.00027666 0.0002018  0.00015337 0.00010808]\n",
            "[0.63504845 0.22606011 0.07476791 0.03575777 0.01156656 0.00755236\n",
            " 0.00327831 0.0022317  0.00162784 0.00123718 0.00087184]\n",
            "[0.63504845 0.86110855 0.93587647 0.97163423 0.98320079 0.99075314\n",
            " 0.99403145 0.99626315 0.99789099 0.99912816 1.        ]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "hM92VJ7wLAH6",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 296
        },
        "outputId": "1bcb6b0d-0639-4b8f-e410-067b2fbc2935"
      },
      "source": [
        "plt.plot(pca_change.explained_variance_ratio_.cumsum())\n",
        "plt.xlabel('number of components')\n",
        "plt.ylabel('cumulative explained variance')"
      ],
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0, 0.5, 'cumulative explained variance')"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 12
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1C1X2iCI8gh5"
      },
      "source": [
        "The first three PCA explain 93.59% of the total variance. This is slightly lower than some published papers where the number is above 95%."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mxuY0yavLAH7",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 483
        },
        "outputId": "e49e3ee1-09bc-4fd6-8be0-257069d34b93"
      },
      "source": [
        "df_pca_level = pca_level.transform(df_weekly)            # T or PCs\n",
        "df_pca_level = pd.DataFrame(df_pca_level, columns=[f'PCA_{x+1}' for x in range(df_pca_level.shape[1])])  # np.array to dataframe\n",
        "df_pca_level.index = df_weekly.index\n",
        "plt.figure(figsize=(15,8))\n",
        "plt.plot(df_pca_level['PCA_1'], label='first component')\n",
        "plt.plot(df_pca_level['PCA_2'], label='second component')\n",
        "plt.plot(df_pca_level['PCA_3'], label='third component')\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1080x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "lZ1wpSdHr3PZ"
      },
      "source": [
        "The first PC is at its lower bound; second PC is bouncing back; third PC is trending towards its upper bound."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 483
        },
        "id": "pXA_OHcZsHkl",
        "outputId": "b4fce132-3fb7-45cb-e821-208a796d32e9"
      },
      "source": [
        "df_pca_change = pca_change.transform(df_weekly_diff)             # T or PCs\n",
        "df_pca_change = pd.DataFrame(df_pca_change, columns=[f'PCA_{x+1}' for x in range(df_pca_change.shape[1])])  # np.array to dataframe\n",
        "df_pca_change.index = df_weekly_diff.index\n",
        "plt.figure(figsize=(15,8))\n",
        "plt.plot(df_pca_change['PCA_1'], label='first component')\n",
        "plt.plot(df_pca_change['PCA_2'], label='second component')\n",
        "plt.plot(df_pca_change['PCA_3'], label='third component')\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1080x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "mY15pt95-dSp"
      },
      "source": [
        "On average, the first PC has the largest weekly changes; the second PC has the largest spike in late 2007. The third PC changes are relatively smaller. This is in line with the fact that first PC explains the highest variation."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "qxpwHlaIi8YR",
        "outputId": "87565866-ebcf-4694-80ee-d8da5e91d1c1"
      },
      "source": [
        "print(pca_change.singular_values_.shape)        # SVD singular values of sigma\n",
        "print(pca_change.get_covariance().shape)       # covariance\n",
        "print(pca_change.components_.shape)         # p*p, W^T"
      ],
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "(11,)\n",
            "(11, 11)\n",
            "(11, 11)\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0TapnAwfi-nz"
      },
      "source": [
        "SVD has p singular values; covariance matrix is pxp. $W^T$ is pca.components_, which is pxp"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Fx6Ef8BCtjgu",
        "outputId": "01fd7df3-1a15-4c42-82bf-29f1dde10f1b"
      },
      "source": [
        "print(pca_level.components_.T[:5, :5])\n",
        "print(pca_change.components_.T[:5, :5])"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "[[ 0.36023252 -0.25655937  0.39913189 -0.56723613  0.01482805]\n",
            " [ 0.36796015 -0.24666686  0.29225917 -0.13972673 -0.01300978]\n",
            " [ 0.374633   -0.22942481  0.16101634  0.26181778  0.13081354]\n",
            " [ 0.36507482 -0.19841834 -0.02053929  0.45741015  0.04709652]\n",
            " [ 0.33890817 -0.10331612 -0.29148257  0.31022718 -0.21836308]]\n",
            "[[-0.10250026 -0.75712007 -0.37420159 -0.4478502   0.20599242]\n",
            " [-0.11200385 -0.47010396 -0.00867281  0.34676659 -0.4662093 ]\n",
            " [-0.13449477 -0.28349481  0.20771456  0.51845356 -0.11134675]\n",
            " [-0.17040677 -0.21223415  0.29967192  0.3449688   0.28172845]\n",
            " [-0.26827879 -0.06440793  0.43679404 -0.12325569  0.40230782]]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "CQFbhR4otla5"
      },
      "source": [
        "Usually PCA on level and PCA on change give different results/weights."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "dwHd39AD8px9",
        "outputId": "934db629-5693-4059-e74a-727d47c3ad50"
      },
      "source": [
        "print(df_pca_change.iloc[:5,:5])    # df_pca: T = centered(X) * W\n",
        "print(np.matmul(df_weekly_diff_centered, pca_change.components_.T).iloc[:5, :5])     # XW"
      ],
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "               PCA_1     PCA_2     PCA_3     PCA_4     PCA_5\n",
            "DATE                                                        \n",
            "2006-01-15  0.037659 -0.145471 -0.003422  0.042814 -0.042772\n",
            "2006-01-22 -0.071417  0.107283  0.099630  0.122137 -0.022446\n",
            "2006-01-29 -0.453613 -0.196927 -0.054567 -0.039250  0.059868\n",
            "2006-02-05 -0.106102 -0.164901  0.114008 -0.047069  0.007816\n",
            "2006-02-12 -0.196248 -0.097897  0.140442 -0.034231 -0.024348\n",
            "              DGS1MO    DGS3MO    DGS6MO      DGS1      DGS2\n",
            "DATE                                                        \n",
            "2006-01-15  0.037659 -0.145471 -0.003422  0.042814 -0.042772\n",
            "2006-01-22 -0.071417  0.107283  0.099630  0.122137 -0.022446\n",
            "2006-01-29 -0.453613 -0.196927 -0.054567 -0.039250  0.059868\n",
            "2006-02-05 -0.106102 -0.164901  0.114008 -0.047069  0.007816\n",
            "2006-02-12 -0.196248 -0.097897  0.140442 -0.034231 -0.024348\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "UZ43Utv6iUST"
      },
      "source": [
        "The transform() output is T, or the first dataframe. Each volume is an eigenvector of covariance matrix $X^TX$.\n",
        "\n",
        "The second dataframe should match the first, or $T=XW$. Here the input data X is centered but not scaled before applying SVD. W is pca.components_.T"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "uXwOazdscabX",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "32d24ba9-e468-4e79-92e6-b67d1b80f216"
      },
      "source": [
        "np.matmul(pca_change.components_, pca_change.components_.T)[1,1], np.matmul(pca_change.components_.T, pca_change.components_)[1,1]"
      ],
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(1.0000000000000016, 0.9999999999999998)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 18
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1utY0Dy9jddM"
      },
      "source": [
        "Eigenvector W^T is unitary (wi and wj are orthogonal)"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "MSFAsnv7gvt-",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "691c137c-d91e-4953-f76d-fd6ee9aeae2a"
      },
      "source": [
        "print(pca_change.explained_variance_[0])      # eigenvalue\n",
        "print(np.dot(np.dot(pca_change.components_[0,:].reshape(1, -1), df_weekly_diff.cov()), pca_change.components_[0,:].reshape(-1, 1)))     # W^T X^TX W = lambda\n",
        "print(np.dot(pca_change.components_[0,:].reshape(1, -1), df_weekly_diff.cov()))        # Ax\n",
        "print(pca_change.components_[0,:]*pca_change.explained_variance_[0])                  # lambda x"
      ],
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "0.07872586495891083\n",
            "[[0.07872586]]\n",
            "[[-0.00806942 -0.0088176  -0.01058822 -0.01341542 -0.02112048 -0.02541622\n",
            "  -0.03097223 -0.03273537 -0.03145325 -0.02949365 -0.0279408 ]]\n",
            "[-0.00806942 -0.0088176  -0.01058822 -0.01341542 -0.02112048 -0.02541622\n",
            " -0.03097223 -0.03273537 -0.03145325 -0.02949365 -0.0279408 ]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "oEcytU0Tjlfr"
      },
      "source": [
        "It shows that the eigenvalues of $X^TX$ are explained variance. They represent the variance in the direction of the eigenvector. The second line is the calculated eigenvalue $\\lambda$.\n",
        "\n",
        "The third line calculates $AX$, and the last line calculates $\\lambda x$, where $A=X^TX$. By definition, they should match."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "V9uZWeDaLAH8",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "4156ba03-ea4c-4795-88de-9609038c9b71"
      },
      "source": [
        "df_pca_change_123 = PCA(n_components=3).fit_transform(df_weekly_diff)     \n",
        "df_pca_change_123 = pd.DataFrame(data = df_pca_change_123, columns = ['first component', 'second component', 'third component'])\n",
        "print(df_pca_change_123.head(5))\n",
        "print(df_pca_change.iloc[:5, :3])"
      ],
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "   first component  second component  third component\n",
            "0         0.037659         -0.145471        -0.003422\n",
            "1        -0.071417          0.107283         0.099630\n",
            "2        -0.453613         -0.196927        -0.054567\n",
            "3        -0.106102         -0.164901         0.114008\n",
            "4        -0.196248         -0.097897         0.140442\n",
            "               PCA_1     PCA_2     PCA_3\n",
            "DATE                                    \n",
            "2006-01-15  0.037659 -0.145471 -0.003422\n",
            "2006-01-22 -0.071417  0.107283  0.099630\n",
            "2006-01-29 -0.453613 -0.196927 -0.054567\n",
            "2006-02-05 -0.106102 -0.164901  0.114008\n",
            "2006-02-12 -0.196248 -0.097897  0.140442\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "7Y4Rvxqs7yEi"
      },
      "source": [
        "Alternatively We can do fit_transform on one call. It should match the two-step fit and transform."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Nk_fKopN82DB"
      },
      "source": [
        "## 3. Curve Analysis"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "OHVRBuJ8LAH9",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "outputId": "a4044ead-7630-4c07-86b3-dbf89ed2c051"
      },
      "source": [
        "tenors_label = ['1M', '3M', '6M', '1Y', '2Y', '3Y', '5Y', '7Y', '10Y', '20Y', '30Y']\n",
        "plt.figure(figsize=(15,4))\n",
        "plt.subplot(131)\n",
        "plt.plot(tenors_label, pca_change.components_[0, :])\n",
        "plt.subplot(132)\n",
        "plt.plot(tenors_label, pca_change.components_[1, :])\n",
        "plt.subplot(133)\n",
        "plt.plot(tenors_label, pca_change.components_[2, :])"
      ],
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f797e3104d0>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 21
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1080x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "gsD5ZmJe9VcD"
      },
      "source": [
        "**The first eigenvector (first column of W) is the exposure (factor loading) of X to the first rotated rates (first PCA factor, as the first column of T).**\n",
        "\n",
        "Note that it takes first row of pca.components_ because of the W transpose.\n",
        "\n",
        "First PC is level. All tenors shift down (negative) but long tenors move more than short tenors. The peak is at 7s. If the first pca moves up 1bps, all tenors move down. 1M moves down 0.10bps, 7Y moves down 0.40bps, 30Y moves down 0.35bps.\n",
        "\n",
        "Second PC is spread. It suggests that short tenors move downward while long tenors move upward, or steepening. \n",
        "\n",
        "Third PC is butterfly or curvature. The belly rises 40bps while the wings fall 40bps."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "eHxww1iI-SKu",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "6ead9d2c-e971-465e-ad2e-be1f6fefdfb2"
      },
      "source": [
        "T = np.matmul(df_weekly_diff_centered, pca_change.components_.T)     # T = XW\n",
        "bump_up = np.zeros(T.shape[1]).reshape(1,-1)\n",
        "bump_up[0,0] = 1        # first PC moves 1bps\n",
        "bump_up = np.repeat(bump_up, T.shape[0], axis=0)\n",
        "T_new = T+bump_up\n",
        "df_weekly_diff_new = np.matmul(T_new, pca_change.components_)       # X_new = T_new * W^T\n",
        "print((df_weekly_diff_new-df_weekly_diff_centered).head())          # X - X_new\n",
        "print(pca_change.components_[0, :])"
      ],
      "execution_count": 22,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "            DGS1MO    DGS3MO    DGS6MO  ...     DGS10     DGS20     DGS30\n",
            "DATE                                    ...                              \n",
            "2006-01-15 -0.1025 -0.112004 -0.134495  ... -0.399529 -0.374637 -0.354913\n",
            "2006-01-22 -0.1025 -0.112004 -0.134495  ... -0.399529 -0.374637 -0.354913\n",
            "2006-01-29 -0.1025 -0.112004 -0.134495  ... -0.399529 -0.374637 -0.354913\n",
            "2006-02-05 -0.1025 -0.112004 -0.134495  ... -0.399529 -0.374637 -0.354913\n",
            "2006-02-12 -0.1025 -0.112004 -0.134495  ... -0.399529 -0.374637 -0.354913\n",
            "\n",
            "[5 rows x 11 columns]\n",
            "[-0.10250026 -0.11200385 -0.13449477 -0.17040677 -0.26827879 -0.32284454\n",
            " -0.39341869 -0.41581462 -0.39952882 -0.37463736 -0.35491257]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "O0Mnh5w2AyMk"
      },
      "source": [
        "To see why each column of W is the exposure, parallel shift first PC up by 1bps. Then for each tenor, the move is according to the factor exposure (two prints match)."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "YfM6CLXApAPS"
      },
      "source": [
        "## 4. Mean-reversion"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "id": "S7qbARvD7Ppf",
        "outputId": "599a7541-56c5-4c13-c8c5-2fe35faadcba"
      },
      "source": [
        "plt.figure(figsize=(15,8))\n",
        "plt.plot(df_pca_level['PCA_3']*100, label='third component')"
      ],
      "execution_count": 23,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7f797e2308d0>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 23
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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EkBoUb2RgKWtuxL3HVsOv9VEBplHreTMTet5YNkkaOW9pa5DSJmvnkdVEJp03QgghhOhQvJGBpayVTZ5c1Zy34F/feTPCtEk9sITOG1HU5rwlOG/21pRN3vjY2Ygw089Df8my540QQgghOhRvZGDRyyZ1By103gRgCgRz3qKBJSYDS0hAGFhi1Q/pbjQcu5+cWivhbR+/A+/9p3vD26pu7Txs7Ws6b4QQQgjRoXgjA4vuvOkOWrTnzYDrSbgyOufNFHTeiE9YNmnFnbetKZtUbtrTy0WsFW1c+/5v4MhCIbxfy+bB8ZUS/uLrj/N1TAghhBAAFG9kgNEX1o7mRtTmvAGm4Qu0ujlvdN5IQBhYEhdvW5Q2qffgPXBiDYv5SuT+l1w8BwB42aU7AQD/64bDePT0+rk9SUIIIYQMJBRvZGDRnbdo2aT/b+i8SQkv1vMmVBIlxdu2p7HztjVpk6pEMm0ZdecEANdftguPv/81eNkl8+Ftq0WWTxJCCCGE4o0MMI3Fm9bzFjhv8bJJoJZESbY3lUZz3raobFK5fWnTCAfR++fjn58SdQuaI7ewEXXnCCGEELI9oXgjA0s5Ujap97wp8SZgBT1vnoeI8wb4iZMc0k2qjgfTELDqxJsfWKIPgD8XlKqBeLMMFCu1NMmpsRQAwAqSd95w9X7MjPu3xUsrCSGEELI9oXgjiRSrzjlf1MZR8emWIeBoIsyTfr8b4Au2Ws9b9OfpvBHAd7ri/W5AbWj3uXbfioF4S5kChWrNeZvKWuHtAHD5ninc/duvQtqMunDDzL/ddRxfefD0Vp8GIYQQMrRQvJE6Nso2XvCHN+DLW7zIUmWTExkrIsIkav1tYdmkl1w2yZQ+UnW8xN4yNTrgXIu3iPNWrXfe9HMVQmA+l8biRvWcnmO/+MhNR/CJW57a6tMghBBChhaKNxLiuH4J2bHlEjYqDp5aLDT/oT5Stj0IAYylzGjapIQm3mqjAgyjvmySzhupOF6i86ZE0rlOnFSCLW2ZyGtlk6mgrDMVK++cn8yMTNlkvuJgpdDf8BXb9dgjSAghZGSheCMA/D6yi3/zy/iD/3wYZ9bLAID10tYm3JVtF1nLhGWKusAS1d5mGoArJaSs73lj2iQBNnPeAvFmn+OySbtWNlms1IRjWSsT1pnPjZZ4Wy7210X8+M1P4eUf+NaWDGAnhBBC+g3FGwFQS3P8+M1HcWotEG/lrRVvFcdDNmUEwSPRId11zpsnYcZ63izDoPNGAufNrLs9FG9bVDaZMgwUtLLJsBcuJjTnc+meOkkPnVzD0haJwULFwUqhCikl7nlmBceWiz1/jnuPrWKj7ODkaqnnxyaEEEK2Goo3AgCRXerTofPmNHr4OaFsu8imTFimEUmb9Ge6+V+bgYizXa+ubJI9bwTYJLAk7Hk712WT/vM5now4b++8/iL82FX7cNWB6cjj53MZLBWqPXGRq46HH/mr7+KtH7+j62O1S8VxYbsSjiexXnbwzk/fjb/8xuGeHf+mwwt480e/h4dO+gPNn+mDMCSEEEK2GmurT4AMBrbWU3Z6zd+x3mrnrex4vnhLTJv0hZpl1sSbmTAqgM4bqTQqmwzSJt/9mXvwb7/4YkyPp8/J+Sjx5noeyo7EhTsn8LX3vAyWaeANVx+oe/x8LgPXk1gt2Zid6O4cHzy5BgB44MRaV8fphIImVBc2Kji9XsZSoTcOoOdJvP8/H8FjZzbC2yjeCCGEjCJ03ggAoKqJN1U2uTYAPW8Zy/B73tzYkG5tVADgOwrxnjeDc94IGgeWZIJgkCcXCrjp8OI5Ox8VWGJ7EsWKg4m0VTeDTieXsSI/1w13PLUMADg0N971sdqloIWzPH5mA54EVou9ucZ8+/GFiHAD0JeSTEIIIWSroXgbUY4tF/FgG7vretnkQAWWpEyYCb1rofNmKOetQdqkS+dtu+MHltT3vF24MxeKmMNn8+fsfELnzZUoVF2Mp+vPTUe5y714Ld9xdKXrY3SKnqz5yCm/tLFXG0T3HV+FEMD3nT8DwH/v33NsFXc9vdyT4xNCCCGDAsXbiPIX33gc7/3ne1t+vK0tDGuBJVvb81ax/cCSVF3ZZK3nzTC0ssnYq9k0hO/SkW1NI+dtz44svvWr1+PQ3DgOx1ybflLSe96qTuisNULNL+xFCbDa0FnMn/u5cYUE8bbao+TJ4ysl7J7M4g1X78fMeArXnD+D259axk/+7a09OT4hhBAyKFC8jSj5soOS3XoQg+68bZQdpEyB9ZINuYXip+y4yFgmTKO+bDLuvDmerCubZM8bAYCq4yb2vCku3T2Jx8+heFPlj47noVhxMd5EvKm5b04PSoCVgMpXnHA0wbki6rz5f++1kt2TIJbjK0UcmBnDm15wHm593yswlqq5mUosE0IIIaMAxduIYrteW0mLemAJAJw3Ow7Hk20JwF7jl00aSJlGbM4bIAKhppdKJs15Y9okaeS8KS7dPYmjS8VzljpZCyyRyFccTDQpmwydtx6UTZZsF/O5DACc80HWemDJiSDG35P+ZlG3HF8p4cDMGIQQyKZMvO+1l+PiXTkA6PtcOUIIIeRcQvE2olRdL1IK2crjdS6YnwCwteMCKkHapBlz0KRWNqkPNDbret4M9rwRVJuIt0t25+B6EkcXz03AhdoQsV0PxaqL8XQz5603ZZOO68HxJA7OjgHAOR/8rVy/2B4LVkvdiSvH9XBqrYwDM7UQlsv3TOFXf+gyAMBKgeKNEELI6EDxNqJUHa+tpMVqbFDxoTlfvG1l4mTZdpG1glEBmrj0PG1It2gs3gwDdN5IwyHdiplgRIBe1tdPwjlvrkSh6mAi0ySwxAjKJt3uyibLwXv8YCByzrXzpv6+lwSOmKKbxEnH9XDDo2fhehIHZsYi96mxCit03gghhIwQFG8jSjUYhtsq8bLJQ8p528JZb+UgsMQyo+WPnpTh7r0u2OI7+pZhwGVgyban2mDOm0K5t+dK6KserHzFgZRo6rxZPQosUT1uSuS0Glqy1qM4f+W8/dlPXQmg9t5d7WKD6HP3nMAvfPIuAIg4b0BNlC/TeSOEEDJCULyNKFXHa6tkMO681comt9h5S5l++aNeNgnNedPLJhN63hhYsr2RUqLiuJuWTRqhOOr/TEApZRhYot5buWbOmwos6bIEWIm3fdOtl03e88wKrvyDr+HLD5zq6rkBIF91kLYMPO/ANL707u/HJ972fADdJU7ed2w1/Pr82Oy60HmjeCOEEDJCULyNKFXH7TiwJG0a2LsjC2DrnDd/0e1pQ7qjowKSnLf6njcO6d7uOJ6EJ7GpeDuXzlvF8aCeRgV1ZFOtzXmzu3wtl23/5yezFnaMpVoSb0cWCgCA3/rCg/jjLz/aVahLvlwbi3DFvik8a+8UgO5Ksx89vYEr9k7h4299Pg7ORsXbjrEUhABWeuQcEkIIIYMAxduIYruyLSehqu3qz06kkcv6i6z8Fs16UwvplGkkBJYkO28iyXljYMm2RrlNm/W89XKOWjP0/q5C4MBlmok3JS575LxlUybmc+mWxJvavFkqVPF3334Sj53ufKRCoRLt79sxlgLQec+b60k8cmod110wi+sv31V3v2kI7BhL4UsPnMLHb36qs5MmhBBCBgyKtxGlGuzwtzpDSS+bnJ1Ih3OS1G79uUYtpE1TIBVLjdSHdG9WNhnvlSPbD+VuTWYb95WpQJBezBtrxlLBF0xp0wgduHR8unyMMLCka+dNF28ZLG40LydUAm8uKEGMl1e3Q77iYkLr70uZBnIZK1G82a6H9/7zvXj45HrD4z21WECx6uKKfVMNHzM7nsbhs3n8/n883PF5E0IIIYMExduIosogW3UT9LLJuVw6LOXaqjlv6rwtQ8A0Rd2ct+S0yegxDEHxtt2pibdUw8ecS+dtKQgJ2TWVCW/brKQTqI0KaGf0RxJqIyZrGdg5mcFCE+fN8yQWN6rYOZnBh950DYDuxFuhUiubVMxMpEJBq/PkQh6fv+cEfubDtzY83kMn1wAAz9m3o+Fjcppo169xayW7Z0EshBBCyLlk85gzMrSoRVar4kVf2MxOpJEyDViGCHfrzzWqx80yDKQMEXEdIj1vpjakO6nnjWmT25qNoOxvM+fNPIc9byr5cPdUFsdX/EHVmyVhAr07P/VeHksr562xeLv/+Cpe/9c3Y3Yijd1T2fAcK12MKzizXsZleyYjt+2azCaOLDi+7P9tNspOEDhTX1r68Ml1pE0Dl+zO1d2nOLZcm923Uqji6FIR6yUb7/jUXchlLdz7O6/u9NchhBBCtgQ6byOKWmS1GnKg76iriO2xlLn1zpspYBpGpN9HShn2t+nOm1HX88Yh3dudVsomz6nzFoi3XZM1562ZeEsFlnJ8nEe7lJ1a2eTOyQw2Kk7DzZm/+/aTAHyxOZ9Lh+fYqfNWcVwcXSrUzXjbmcvgbIJ4e0YTXbc8uRR+Xaw6+Jc7j6FUdfHgyTVcuicX/n2S0MNKnl4u4hc/dRfe/U/3wPFkV/PlCCGEkK2C4m0EkVKGC71WQw6q2sJQzYHKps2unbdbn1zCP9x0pO2fU6LLMvy0SV2E+oEl/td6yVldz5vBssntznrovDUum6ylTfa/v3MpX4FliDDGHmheNqnSJruf86bKJv3AEiB5XECh4uDbjy2E3+/MZcJz7FS8PbVYgCeBi3fHnLepTKLzpou3p4LES9v18NaP34Ff++z9+KVP34X7j63h2Xsbl0wCwKd+/gV4wQWzAIA/+fKjWCpUwyHpwLmZAbdSqOKmwwvNH0gIIYS0AMXbCOJ4EqpasF3n7avveRne9ILzAQTOW7U78fbGj9yG9/+fR9r+OVUmaRmiToT5gSX+glYfcBwvm4z3ypHth3Leploqm+z/+SwXqpgJypIVrZZN9mpIdzZlYD7nO39n1sv4iQ/djBseORM+7vEzGyho7/v5yQzSpl+22Kl4O3wmDwCJzttaya4bQfDMchGX75mEIYCVYA7cvcdWcftTy3jls3bjxscWsFFx8Jz9jcNKAOCll8zj/T/+HADAnU+v4OrzpnGZJiCPLOQ7+n3a4fV/8128+aO3d+2cEkIIIQDF20iiLxLa6XmzDIHL9kxiLO0v1LIpY+vSJt1a2aRlCNiuhAwUqSdrYwHUuQI1N07BOW+klcAS5Wydi9fKYr6KuYl06PYBzdMmUyptstuySTU2IUibBIB7j63h7mdW8cX7ToaPU07Y5UF/2tyEVjbZ4TkcPpuHIYAL5icit6vglrj79sxyEYfmJjA9ng7Fmxpq/u5XXIwfee5eAMDzDkw3fe4ZzeW8YG4Cf//m78PH3notAD8YpZ9IKXEs6N8rVLZm7AohhJDRguJtBNF3x1vt+bJdWdc7Mgg9b6YhYAXnpXSo1EYF6OItPqTbEHTetjvrZRspUyCbanypU+W25+K1slyoYD6XCV/TQHPnLSyb7NmcNz9tEgDueWYFAHDn0ZXwcSqF8tLAobJdr+uetyfObuC82fG6geTqPBY2KuGxPU/i2HIR582NY3o8hZWCL9rygfjJZSz81Ruvxud+6cW48mAL4m08HQYcnTc3jkPzE/iBS3chYxl4MijJ7AdHFwt42yfuCL/f2KKZmYQQQkYLircRJCLe2pjzFl9EZrdUvPm/gxrSrd+mjwoYT+nOW33P27mY3UUGl42yjclsqm6Au865TpucjTtvzcRbOOet+543IXynby7oebvnmVUAwInVEk6s+g6RcsF+/Op9AIDL90x1Ld5OrJZxcHa87vZdk1kAwMOn1vGSP/km/uQrj+Lp5SIqjocL5icwqzlvSvzkshZMQ+Ca82Zaem7TEJgOBoKfPzce3nbB/ERfyya/cO8JfEvrHVRD2QkhhJBuoHgbQaqRsskWe95cr95560FgSacol8E0RDjnSt3mtei8seeNbJSdTZMmAU0c9TmZ9FO3PY2jS0XM5dKR12pSDH7k/MLXf/dlk1nLhBACGcvEwdmxULABwJ1HlwH44m12Io2XX74bt/z6y/HKK3aHpZ2dlk0uFyrhoG8d5bz95ucfxMJGBR/+zhH871uPAgCuPX8GMxPpMFREOW+TmcYlsI1QATHnaQJy52QmTP/sByoM5tM0ZbcAACAASURBVC0v8nuI83TeCCGE9ACKtxGkY+fNjIqfrLWF4i0471QwKkC/zZOAqoPSk/qSe94o3rYzrYg3NSvQ6+NMQM+T+K0vPAgAuHB+ItyQAFpImwxe2Ha3zpvjRjY7rjroO1e7g74zNXduYaOCnUFP3L5pP3lWnW+lQ+dtOV/F7ESm7nZd0L31xYeQy1j4+M1HMTOewsW7cpgZT4XOW77swDQ2L4FtRE281XruprKpsI+uH5xdr+DS3Tm8/qr9AGrikxBCCOmGnok3IcRRIcQDQoh7hRB3BrfNCiG+LoQ4HPzbWp0L6Qp9d7z1nrf6ssmxdO/KJtstX1SOoWkY4eJVOQ96z5toNufNqwWdkO3HRtlu6tSci543VTL3zusvwptecH64IQE0DywRQsDsQfhO2faQ1d7jVwX9YhftzCGbMrAWCJmzG5UwSEQ/h7RldFQ2WbZdFKpuWKqpY5kGrjywA6997h78zuuuCF2qaw/NQgiBmYk0Voo2pJTIVxzkMtamJbCNmJ1IYzxdG5EA+LP/+tmHtpCvYNdkFrmMv3lA8UYIIaQX9Np5u15KeZWU8trg+18HcIOU8hIANwTfkz5jO7VFaKsLUjuhbDKbMlGqdr5g1EVTuwtjJTpThtDSAGVw3HqhBiSUTQrlqLT11GSEaMl5Owc9b2q22L7pMRhaKbBliLoRF0lYhuhJYIkeGHL1eb54OzgzjumxNFYDh0t33nQyZmfiTZU9ziaUTQLAF975EnzoTd8HwxB4y4sPYWY8hVdcvsv/mfE0qo6HYtXFRtkJhVC7/Mjz9uFtLzkUEX5TY6lwDmA/OLtewa7JDHLB649pk4QQQnpBZ5+ErfNjAH4w+PofAXwLwP/b5+fc9lTdmlvWcs9bQmDJWKq7skl9zEC7JWmRtMlY2Zje86ZTF1gSDjf2YBqb9xWR0cQXb5s7bzVnt4/OW7BwnwjmEirB2CysRJEyDdg9EG8ZTbw9e98U5ibSeO6BHbjv+CpWA4drIV8Je9F00pYRuba0SjPxpguquVwGt//mK8ONpJnxdHiMfMVuKsQb8for9wFX7ovcNpmxULa9xI2rbpFS+iJ4KoNc8P+caZOEEEJ6QS8/sSSArwkh7hJCvD24bbeU8lTw9WkAu3v4fKQBVc15a3XBV00YFeDPeetcvOllQm07b56a82aEgRKuFliiL/jUQrhuSPc5TBEkg8l6qfmC3zAEhOjvnLdCxX8fTQTOkRKMzfrdFD0rm9T6xTKWiZt//eX42evOw46xFFZLNtbLDqqO11i8deC8qVCQpMCSJPTrkJrRtlq0w7LJXjEVJFD2Q1StlWxUXQ+7JrOYyPiCWb0GCCGEkG7opXh7qZTyGgCvAfBOIcTL9DulX0NXt4oWQrxdCHGnEOLOhYWF+N2kA6odDOmuOm5d781YyoTjycjQ73bQxZvbpmug+tssrWzSjowKqD1WnbcZ73lj2eS2xvUk8lUHUy24NZYh4PaxN1L1vE0EgSFqzlvrzptIDCy579gqPnnr0ZaOodImdbIpE4YhsGMshbWijaUgITGpP61T8bZc8I/ZyHnbjNkJX2AtF6vIl52wBLEXKFHfi9AS15P47uHF8PuzwbiFXZP+TL9sykC+0r8STUIIIduHnok3KeWJ4N+zAD4P4DoAZ4QQewEg+Pdsws99WEp5rZTy2p07d/bqdLY1naRN2q5MDCwB0HFoSSHivLW36Ks5b6LmvIU9bzJSIpkJ3IR45ZN6SD9TBMnW8x/3ncQtTyzW3f7Y6Q1ICVy4M9f0GP0e6F4MxNt4prOyScswEkcFvPdf7sVv//tDePDEWtNjlB23YVLj9HgKq6Uq1gMXasdYfalp2jQ6GhWwlFfOW72b14w9O8YgBPDnX3sMx1dKPXXeVDltL5y37zy+gJ/76Pfw6Ol1AH6/G+CLNwDIZVLI03kjhBDSA3oi3oQQE0KISfU1gFcDeBDAFwG8JXjYWwD8ey+ej2yOHUmbbG2x5fd9xEYFBP0xnZZORpy3DgNLLEMb0h2WTdaEGVArPYun0Knvqd1Gm7/4xuP4yE1H6m6/+5kVAGhpmLNliLbd4XZQJXO5oIROvdeaJU0qTCNZXCpx8KFvPdH0GH7ZZHLv5/R4GmslO5xFlktI6OzceavCMgSmxtoXXvunx/A//8uVuO/4GpYK1Y573pJQjmwvQkvUYHPV33d2owwA2DXlDyGfzFpMmySEENITeuW87QbwXSHEfQBuB/B/pJRfAfDHAF4lhDgM4JXB96TPdDznzapPmwSAcoeJk/pQ2vZ73oKySVMb0h2WTcact6AULF42qUorOSpgtClWXKwU6xfgdz+zgvlcGgdnx5oeo5E46hXKhR4PA0tU2WRrQTopMzltUp3y7U+thLedWC3h6GKh7rGlqouxBuJtx1gKZdsLB0sniaS0ZXQ05225UMXsRLqjiH8A+Imr94fn3R/nzcZ9x1YT/2atosYsKJEeD2mZyJhMmySEENITevJJKKU8AuDKhNuXALyiF89BWici3loOLKlPXFMLpo7LJqu9cN5EzXnTRgXoC0ElOuOjAgz2vG0LClUnjLnXueeZVVx93kxLosEyjb4G2xSCUQEqbbLdwBLLNBJLj9cC0VrR3qO/84UHsV628a/veHF4W8VxcWqtFA7djjM97guZY8tFAA3EW4ejAk6tlTvqd1MYhsCFOyfw0Mn1REewU2o9bw7e8ambAQBH//hHOjpWTbz517zVog3TEKG7l8vQeSOEENIbej3njWwhpaqLM+vl6JDuFnvNbNerDyxJ+993Kt42unDe3IS0SSXoZGxUQK1sMnoM9ryNPlJKFKv1zpuUEk8tFnDZ7smWjmP2ObCkqJy3oGzSarvnLdl5Wy35olV3xE6vl8OER8XTS0V4Erh4V3L/n+pxO75SAoDEweb+qID2xNvRxQJuOryAl13aXT/z3h2+6OxlYIlKm1zrQWCJOsaGEm+lKqbHUuHGQS5jRSoRCCGEkE6heBsh/ubGJ/CGv7k5sjveetpkQtmk1V3PW6GLnjeVLKmnTTqRtMmaUlPlnXHnjT1vo0/V9eB6EutlO/IaU5sFjQI64piivz1v+aqDtGWE7rZ6TbfuvNWXdUopQ9Gq/g5AEKsfEwpPnM0DaCzepsd8Z+z4qu+8JYmkTJs9b3/+tcfwg3/2LaRMA//j+y9o+eeS2LvD7x3rZQm0KsF8ciHf9bHizttK0caO8ZoAzmWsSCUCIYQQ0ikUbyPE6fUyTq6Vw2Q7oPWySTtpzlsP0ybbFW+h86YN6Xa0OW9JowIE2PO23SgGPUZSRh0UFdrT6vDlfve8FStuOCYAQOgmtxpYYhlG3ciOsu2h6niha6aE1UqxWtdfpcTbhTsnEo9fK5ssYTxt1m2EAK0Fljx0cg3/cucxAMCtR5YAAH/5M1dh12R2059rhir3jDuK3WAaArmMhUdPb3R9rLh4WyvamNYSOyfovBFCCOkRFG8jhFo4nF4vh7d1E1gS9rxVXdz46NmWkysVejR2u6MCbC1tUs3EUoLOi/W8qVEBVTcqMtnzNvrobsaK1vdmB4PqWxVvltl4CPZXHjyNN/3DbV2cpX+eE1rYRidlk/ENEFUyuSdINCzbLiqOi2LVRaHqwtMe/8TZPPZPj4WBKXGUADy2UmyY6Jg2mweW/LeP3o5f++z9OLNexrHlEn7ymgN4zXP3tvQ7bsbPvfA8/OiV+/C2Fx/q+lg6U1kLjwXiLWk8Qqso8ZbXyybHa31+uawVllQSQggh3UDxNkKohcOp1Zp4a7Qg1ZFSouK4DcXbvcdW8bZP3IFvPlo3pm9T7A6GhdceX0ubVAtddbxGPW8VO/q7qoew5210KVVrgl0PLVG9WakWxdFmzts7PnUXbn5iKSKG2qVQccKwEvV8QJtlkzEXfTUomdw15Y8LKDtueBtQE7auJ/HgibWGJZMAMJ/zjyFlLYUxTivOmyqx/re7j+PMRhkHZponfbbCZDaFD77x6jB6v1dMZlNhZcHOyfbn0CnWEwJLdOdtKptC1fE6LkEnhBBCFBRvI4RaOJxaq4k3u4WyydPrZdiurEuiU30vTy/5Edpng1lGreIk9CC1ijpvU+t5qzlvMlIiqUYFxF0B5bxRuo0uBU28rRTqyybTZvOkScB3tpqJ/G7KKotVNwwrARC6ya06bynTCPtAFUqoKeetYnthRD1Qi63/2HefwpHFAn7imv0Njz+WNjETlE42iuNPWwZWS1V89q7jiaXI+m1/960nISVwcHa8lV9vy7h0Ty3QptX+yCTiowLWinbEeVOu3noPwlEIIYRsbyjeRgi1cDi9Xg6dqVYcryMLvji7aD7aD6PKp06s+gl0K232mzhdOW/1PW+2NirA0F65agFccaK72mHaJOsmR5ZipUHZZJs9b4ZITnPUabf0V6dQcSKiqN2ySTOpbDL4ffcEYR5lx438DfIVXyj80x3P4IUXzuL1V+7b9DlUomPjskkTZdvDr/zrfXgqNhPt/uOr+I3PP4hC1cXeHVmsB/1dB3vkvPWL1z2vVtLZan9wHCllpGzSdj1sVJywjxCo9RSuUrwRQgjpEoq3EeC+Y6v4wNceC8uklgvVsLelFbdApa1dFCurylgmsikDJ4L48OWEWVqbEUn/a3NhpISfaYhwoLGrDenWe95e+9w9AIDn7p+OHMNg2uTIU4yUTXYeWOL3vPXZedMDSwJHMG22NqTbDyyJ97z5v+9uzXnT/waq5/TMegXP2jvVdN6dct6nNimbVNx0eBG/+Km7wjLAX/nX+/CZ258BALztJYfCxx0YcOftBy+rjTBIGoPgehJv/uj38M1HzzQ8RrHqhq+NQsUJhZwu3nb0cCwBIYSQ7Q3F2wjwU393Kz74zSciC7exYKHYSsjIkYUCJtImdiX0fExlU2EcebvOm60tdtse0u1JWIaAEPVpkzI2KuDll+/Gk3/0WlyxbypyDM55G30aBZZU2wwsMQ2jqTjrZpRAPtbzFqZNtlw2Kerey/GyybIddd4KFQeFioN8xWkp7XHftP+YzcomFX/2tcfw5QdP43N3nwBQK10GgB/VHL49Pe5R6zUZy8Snfv4FuGRXri7NEwCW8hXcdHgR//0TdzY8hi7I8hUn/P+iB6CoUQyrRYo3Qggh3UHxNgIokZLXSsguCiLBW3XeLtqVS9yZ10uolttceOhhKfoAZNeTLbkcyp2ozXlLHhUA1M94A9jzth3QnbeVBOctbbXe89Zv501Pm2w3sCSpbHK5UEHaMkKHp+JEnbeNshP2qe6eah7GocomjQanpJ+r+vqL9/ni7exGrc92z1QWzz80AyGS35eDxksvmcfV502HCaU6C/nmfb5KvGUsA4+e3sAr//zbAJDY80bnjRDSL8q2i/+8/2TD8UhPLuTxR196JBznQoYXircRYCJhp/y6Q7MtLUgB33m7cD55/tOUtnu82mbZpF7mpQu5X/+3+/Huz9yT+DMfvOEwbjq8AMeVoTuh/q2Jt6jz1gg6b6OPEm/zuUwkDKKTOW/x98otTy7ijR+ujQho1z3WKVScSNlkymyv5y0psOS+Y2u4fM9kOKS+bLsRd7xQcXA2GBvSivOmBN5Gg3lk+ky6xbz/PLcdWcbptTLOrFfwnldegrt/+1UQQuDT/+OFePj3f7il320QSJlGYk+j+j0BROZn6qjX3f5Y4JOeNqkGdrd7DSWEkM1YK9n47S88iLWSjS/eexLv+v/uwWNnkmdX/uMtR/Hh7xzBb37+Ac6/HXIo3kYAfVGouPbQLExD1C34kljMV8K+mTh6/8tym2WTrldzyPSet2MrRRwPQlDifODrj+PNH70djueFjpvavXddveet+fPXet54kRpVVGDJfC4dWVxX2xVvol683XZkORw0DXQeWOJ6EhXHi8xYa3tUgBENVClVXdx7bBUvvHCuNirD8bBcrIapiYWqgzOB87arBedNjQjIN5hHZjVI7rwt+BtdunsSsxO+25S2jLB0exhImcljEBa1hN2HTq4n/qy6Lsb7+9TfAgAmMxaEYNokIaS3fOGeE/jkbU/jr795GA+f8q9R+rgoncWgksB2ZcPrPBkOKN5GgCTxdvV500iZRtM+HS9YWDZaaOnOW9s9b64XugLx8JJmvXiq5w3wF9YAoH4VKREZFdCImvPW1mmTIaJQdZE2/dJBfWyAcn3bCSyJi7PlQrRkrtM0QjVHbCxdO5dUm6MC/POrPf/dz6yg6np40YVzEedtvWSHDtBGuea87W7Bebt0tx9Y9OKL5hLvXy9FP+yVe/i9p3zxdmgu2b0fBtJWfSAMUFvsAMDDDcTbmeBvrKoXrj5vGn/6k8+LzLgzDIEdYymmTRJCeooSYQ+cWMNjp33H7fR6snjTN+DPNHgMGQ6SO9PJUKHv6L/xuvOwfzqLyWxq08HDinIQr68GcsfRe94KVRdl2w0Xi81wPYmMZUTS2ABfmDXtL3K9sFxS9eCoyP/4kO5GKOeNZZOjS6nqYDxjYiJt4YzWd2U7as5bNz1l0c2KTnvelCM4pr1Pd01m8Ks/dBlefcWelo5hGUZkw+OOo8sQArj20Ew4qLzseNgoO5jLZfD0UhGFioP1kkTaMjA11vxSf/7cBG7/jVeEA7vjLMb6vy7fM4UHTqzhe0eWAQCH5gc7WXIzUqZIDCxZzFeC+2QkDEbn7EYFliFCd/M5+3bgp59/sO5xO8ZS7HkjhPQUNYf33mOr4Zrn9Fpj8TY9nsJq0caZ9Qou3jWZ+Dgy+NB5GwEmtOG/P/Ts3XjXyy8BEJRaNSn1Uj1DDZ23WGx4O2lpjieTnTfPa7oQdjwZlpaFZZOyvZ43JfAeP5PHx777VMvnTYaHQtXFeMrEeMZCsaI7b0HZZBuBJfHX5FI+uljvtOdNiatxbdNDCIF3Xn9xOKOt6fmZ0bLJ02tlzE1kMJlNIRMct2K7yFccTGYsTGQsFCoOzqyXsWsy03RMgGLXVBZGg52Ri2OjRC4LBlwfWSxg745sZBNp2PB73mTdTMjFfBW7JrPIZayGvYBn1ivYOZnB2XVf3O5vMNtueizFtElCSE85ulQEAJRtL1zP6QFSOsuFKp61x0/lpvM23FC8jRh6eEkrs6vUwrKRm6Z27FUfTTt9b47rhf04TqxsMum89N40x5VhWZYSam4YWCIbJuLpqAXruz9zD/7gPx/uKnCCDCalqovxjIWJtBmp4W+3581I6Hmrd94663lTZZNJ5c2tEheXS4Uq5nN+T5V6b1YcD/mKg1zW8sVGxU+bTBoB0glvfuH5+Pp7X4aXXjwPADgwMxaOFbigQeDRsKBeJ/Ee4cV8BfOTGUxmrYb9amc3fIF8zfkzABD+feJM0XkjhPSYo4sF/JfvO4ALg4RxIZKdN8+TWCnauHyvv+l2Zr15ki4ZXIZ3q5SE6I328VlSSX0cOuUmC0vlvJ0/O4HHzmy0Jd78sknlvNXO0fFkYomSvnZ2E5w3z6s5b604CfFHFKtOGMpARoNC1cFE2sR42oqMDVCv+1bLJpM2OuKv9U7FvzqvbDfiLZaGuJSvYC4Qb2nTgBCB81Z2kMv44q0QiLdLYo5ZpxiGwCW7J8PkxNmJNHZNZpCvOCMg3vyrhe1K6OG9CxsVHJgZQ6nqNHTezq5XcN7cOH70eXvxskvmIyMCdKbH0zi+khzURAgh7VKs+tf4C+Yn8L7XXI7P3P4Mbj+6gtMJwmytZMP1JA7MjGMyY9F5G3LovI0AFU285WKzpJo6b3ZrPW+qFGij3PrOse1KZAJXQNdqjuslnpcu6GzXC3fDa4ElnfW8KUra4p6MBsWKi/G0hYmMiULVCd3b9kcFGJHXpL9L2Zuet6SyyXZJGX7flfr9lgpVzE34jpoQAhnLQFlz3iYyvhOpyiZ7iZpZNjOexs7g2MMv3gLnLZY4eXajgvlcBlPZFNYbXPuU8yaEaCjcAGDHmEXnjRDSM54OSibPnxvHXC6Dd738EhyYGQuDqnSWgs3IuYk0dk1lGpZWkuGA4m0EiDhvWv9bPKEuCbWwbCTeVNrkvmm/N2ejjXhZ15PIJjhvtisTz0tfPOvOm1HnvMnWet5ir+4ixdvIUbT9+WkTGQtS+nX/gC7eOut5Wy3ZdSmlnaZNqtddNz1hZvBiVue0lK+GzhsAZCwTG2UHFcdDLm1hdiKD4yslbJQd7GowBqRT1Pyy2Yl0OGJkZMSbdp163QdvwnKhil1B2WSS81ZxXKwU7YajVnRymRTjuQkhPUP10OohU3umslgqVFFxousdtRmprtv9LJtc2KjgHZ+8q63NftIeFG9DwC1PLOKDNxxuGK9fiYg3vWxSNI3kV85bo5IuVTa5d4fvvOUblA4lYXte6Lw5MWGWdF764tj2JCzNNTENEQksaWVJHi+tpHgbPUpVF2NpExPB67cQJDuqDY1Ui1H8cZc6PiYA6L7nrZu5Z1ZY1uehHASTzGlzxLIpA0tBGmQua+HAzFi4K7uzj87brhFx3lR5rSq3LVVdPHhiHQdnx/BzLzwfU2PJztuCmqPXwt84Y/mz5OKhKIQQ0glKoOkjZ/YEG0mq7812PZxZL4cBXKrcvZ9lk/cdW8VXHjqNx8/k+/Yc2x2KtwHntiNL+Nl/+B4+8PXH8WCDOUNqoWoaIjL01zSMrp23PTuyMARw2W6/ybWdneNoz1vztEl9cex6XjjnDfBLJ9WPSClb6nmrK5u0ues9apSqLsZSZuhqqcTJdnve4kO61Qed/n7qPG3Sf911E1iiHETHk2Ev3py225pNmWFZTC5jRWaMteIKtcMF8xPIpgzsm87i2kOzeNbeKRycHd4xAUAtlVSVTS4Hu9Tvuv5i7JrKNnTezrYxBF2FQlWbbKgRQkgrqI17/XPq4mBep5r59rffehIv+KMbcN/xVQDAXC6NsbQVVqn0A7WW45im/sHAkgHnhkfOhF836tmqOC6ed2AHfuyq/RFRk2olbbJJz9v+6TF8+1evx4GZMWRTRlvizdF63nSxZjdIm4w/RhdvhqHPeWttVED8EYUKnbdRo2QHzlsm6ry13fMWKzFWAunCnTk8csrfNOl8ztvm77GWzi8om3RdGQpL3XnLWDXnbTJIm1T0uuftVVfsxu2/+UpMZVP44efswQ8/p7VZdYNMWDYZvG5Wgv//M0EP21Q2hfWSXbdxdHLVDyBRlQmboVJBG83KLIYinx/LhJDm1MRb7Xpy+Z5JCAE8fGodr372Hhw+67tfH/nOEQD+Na3RXMteUQ02T1ll0D/ovA04Nz+xFO6qxGuYFRXHwzXnzeDnX3pB5HbTaP4GbaWk6+DsOIQQyGVSDRPXknA8T+t5i5VNNhFvrifDUjEgGuXudRhYwrLJ0aNkx5w3TbwZopZU2gzLEJG+TOW8XLSzVg7odtnz1k3ZpBJ+haqDpaCkM+68LQaibiJjRWaN9Vq8CSHq5j8OO0q8KVdMiffZQCBPZlNwPFm3W63EW6PZbjpqgdVox/s9/3QvfvWz93dw9oSQ7UglWL/pztt42sIFcxPhpuOYtoF+5YEdyKZMf65lH8WbOrZL561vULwNMMuFKh4+tY6XX74LQOMP/YpT6y3TScUS9JJoNudNZyprte28qVrsSD+b6yVeOPTFcdXxYGmJI6aI9rw1GiSsox6izoFlk6OFFyyms6ma85YP3NWqllbaCmYssES9L561dyq8rZu0SUNEP2DbRQUGnVwthc7bfC7qvKn3pl826ZcxWoYI3SPSmHjPm2runwnEm5p3Ge97O7FSwmTWaknM1ubxJW8inVwr4QRHCRBCWiR03mLrv2ftncIjp/yyybWSjQt3TuCmX7seX3jnSwD4PdR2H10xJ3Te+vYU2x6KtwHm0dP+zsmLLpoDkPyhL6VE1fGQSViomoZompDXbM6bTi5rId9GepDjyXDBGp/z5sl6S11PeitUnFjZpIikTbZQNRmWN6lzoPM2WqgPrrG03vPm4MmFPJby1Zb73QDlvNVej+rYb33xIXzy568D0F1gyXjaaqlPsxGqh+3Eaqmh86aYzFqYGU9hLGVi12SmpY2O7Y4eCANoztt4zXkDUDeo+8RqCfunm7tuQO3/UaNNuFLV5TgTQkjLVBPKJgHgin1TeGa5iI2yjbWSjfmJTFhBBfgb+/103qp03voOi+sHGNWjpcqeKgkf+upNkklwzixTNNzlVZRsF5YhWnIpcpl2nTc/dMTSkiKlrPW7uVLC0DrT9MVzvuJEyibNyDFa7HkLHpKxTGzA4cJoxND7NdVw+kLVxc/8/a1YzFfDkrdWMGLOW8V2IYS/qaEW590M6W7F2d6MfcE5HF8poVh1YBoiTNgEoq5eLpOCEAL7Z8Yi6bOkMfE5byuFKgxRG5UylVXOW/T6d3yldfHWrPy9bHswDG5VE0JaIymwBACetdcPmHv09AZWi3ZYiaFImQY8GR3J1EuUMGTPW//gJ/sAUwiEktphLyd86KudlySXIe4mJFEM0vpaIZex8MxysaXHAr7DZpoiUpIW72vTn1rvz/Odt9rv5Pe8+V97UrY0KsCg8zbSRMRbUDa5WqyGvV+tzngD/PeKF3PeMpYBIUT4Oux0zlup6nSVNAn4fQxzE2kcXykhmzIwnjYjTp6+eaP+Fm9/2YVtuY/bmdqcN///8XKxiunxdLiwCZ23eNnkagnXXTDb0nM0dd5st6VeXkIIAbRRAWZ92SQAPHJqHeslGzv2Rcu69UoD0+jusykJVX7e6YYnaQ7F2wCjkvOUg6BKHHXUzks6oZ/GNIzwTdSIsu02nPEWJ9cgLrsRrieRMgxfRAbnEe990x0J/Y1eqLox562DId2xh6i/JxkNVAT/WDCkG/CdEEV7PW/+WA2VJuiLN/+1aQavw26ct27FG+CHYhxfKWLfjrG64+mhJMqF/OlrD3b9nNuFdJ3zZmNmvLbg2RH0vOnXv/WyjY2y00bZdxRGmwAAIABJREFUZC1tMolS1W2pHJwQQgB//Zc2jbrS+D1TWcyMp/DwyXWslWxMj0fFmz56ph+oFhiWTfYPbssOMKHzFoi3xLLJBrY5gJbiYEttOG+TbZRNSuknSppG3HnTZ7nFet5iQlO38/XAEol6YZaEcibUc7JscrQoVYOet5SJjGXAEMAxzRlut+cNQDhLsOK44XtK3ddxYEkwzqBbDsyM4cRqCUXbDQWa4gcu3Rl+zR639gnnvGk9b3rZbVLPWztJk0CtL0VtuOlIKVGyXZRsF5ILHkJIC1RsL3HtJ4TAs/ZO4f7jayhUXewYi4u36GZVr3E4KqDvULwNMKrnbTKbgmmIxLLJzZy3iYzVtFRQRa23Qi5Im2xlcaGEWcoUsMxa6qXuvMUXw3Exl9LLJoOyNiklpERL4Q/qIeq4LJscLfQxF0IITKQtHFupibd20yaBmtAv27UE1/h9bZ9nr5y36TGcWCmhUHHqxOALL5zr+vjbmfiogJViNZLSWSt5rF1D1kv+Rtb0WGu9lZs5b+o6LmXjskpCCNGpOG5i0jjgl04+HIwLiIs3KywT78+1xmZgSd+heBtgilUHYykTpiGQtYzED/VGaUOA36O20SQdsmR7rZdNZlJwE2YdJaGEmWkYEefN3sR5i6cfmQmBJepa0FrZZLTcjc7baKHEm1pYj2dMHFvWyiat1h0oJdDUa8V33vzjhs5bF3PeuhnQrdizYwwVx8OptXKd85ZNmdgzle36ObYr8VEBceetFvNfu0bVBsG39jqrzXmrvw7p16Yiy7sJIS2gl/fHefa+2pibOuety8+0ZrDnrf+w522AyVfcMHwgkzITU8qqmzpvJgpVN+zjSaJcdTHehvMGABsVu2kZmKM5b6aoDUDW38zxks64E2fFyiY96fe7Aa2VTarHOKHzxkXRKKEWvEoY7d0xhjPrq+H97ThvVly8aeUoapey0w8iv2yy+0vtZPD+O7Nexq79O+ruv/FXfrBvO6mjTlhGFFyT1kp2ZMGTNg0IERVeyqVLtTi/L5MgABUlWxdvLuijEkKaUXWSyyYB4LnaZ8SO8QbOW5/GBYRpk3Te+gadtwGmWHXCIIZGzpsSdElv4FacsqJdX4LViMngXPIthJaoN29dz5u20xNfDMe/txLKJtVDWhvSHV2Qs2xytChrZZMAcMH8ROR+vey2GfXOm9eznrdi1Wl5g2Qz1CDo5UI1sQxzLG22NCya1KOnr0kp/f//2v8zIQQylhERb/YmSb9JJJVeKnTxVmoQaEIIIToVx03cuAeAC3fmwq/re97U9a5fzpvarO/L4Qko3gaaQsUNhw9nU2bih/5mzlsucO02CxlpJ7Akp8RbC6ElaqFrmQYssxbDru/0xBfD8V2gSNqk8MceqJ2cdlLZ1PNwUTRaFGPO26G5qHirtvHJERdoetlkTdh19klUrLgYz/RCvNXcu/EeOHmkRtjz5ngNZydlU2bENatVF7TovFmbOG/VqPNGCCHNiG8y6eiBb40CSzrt426GGrnCwJL+QfE2gLiexEe+cwQL+UoowNKWkfih32ihAdTKHDcTW2Xba3mAsBpYu1LcvI8OqDlsVsx50921eL113HnTLzhCINLzJlqY9BZ33gptDBgng48+5w0ADs1HB5E2imRPwjSipZH+h2IQWCI6d97KtouNioP5XKb5g5swqblqvQhAITXS4WJGhtfU+HUxa0U30NrteVOll5WE12XZZs8bIaQ9KraHzCabR2pEQLwio9s+7maoqgQGlvQPbt8OIN989Cz+8EuPAKhFgDdy3jZNm0yr2UQ2PE8mlhoWqw7G0q1p+IOzfiR2K4O61Y6OZYjIsHA7kjYZFaN2bHF82e7J8GtTpU2ijZ634NdiYMlo0qxssj3x5v8bOm9az5thCBiisw+6hY0KAGBnT8Sb5rz1wMkjNcIyIscLxVW98xYtXVdVD606b0IIXwA26XnjdYoQ0goVxw1ba5L41194ET5793HM56KJuKpPt53qlHZQn6PseesfdN4GED2oQwWWZFNG4py3Ws9bQtpksNh7/V/fjBf/8TcTn6tQcZHLtNYns3syi4xl4OhioeljQ+fNFOEAZGDzOW/xsrTL9kTFmyu1nrc20iYVRZZNjhSlqgvTEOHC+1Ag3ibSqreo9Q8m5bx5CWWTgN9/2YnztpAPxNtkj8VbivtuvcQ0BITw3bSGzlsq7ry1VzYJ+KElSc4byyYJIe1S2SSwBAAu2T2J973mWXWBdaofvH9pk0FgCcsm+wbF2wCi93op9yxjbZ42mRxYUlvgnV4v191ftl1UXS+yKNwMwxA4NDeBp5daEG/aqADdedMXwPU9b9HvD2jDb40Oet7iD+GO9mihZhSqD6apbAoHZ8fwnCBlK2kuYiPqe96iH4qWKTrqeQudt56It9omywSdt54ihEDKNFB1ZSjQ4tfUjGVEXLN2yyYBVXpJ540Q0j2bjQrYDLXGjI9n6hW1wBKKt35B8TaA6A5bmDYZlOxIKbFWqvWcbdbztpmdDtR64VoVb4DfV/RUK85bsNBNbZI22aznTd8tMg0BT0rI4E/TivMW323qNC2QDCYl261zRz7/Sy/Bb7/uCv/+NhbBqrlbbYboPW/q/o6ctx6Kt7RlhO/zVhNiSeukTWNT5y2TMiOumd3mqAD/mEbipgJ73ggh7bLZqIDNCAOa+jYqIMg44JKrb1C8DSD6h3utbNJE2XFx42Nncd0ffgMrhSqAzdMmJ5uJtyDyP9fkcTqH5idwbLnUdEdFvXnVqADlWjiRtMnYnDftPn1ALlCfNtnOnDeF60lI1mCPDOWqW9evOZ/LYFcglJICfhqhnLcf+svvYGGjgoodL5sUHe0iLmxUIET967lTlPsWH9JNuidlCtiu19B586/BuvPmvx5aHRXgH9NMLH+PlE2yvJsQ0gIVx41sMrZKyuxzYAnTJvsOVwADiP7hPh6WTfo9bydWSqg4HhbzFcxMpDcPLGkiyjY6EW9zE6i6Hk6ulnBwdrzh4/QYbdMQ4UVCdy/ii2F138ff9vzIgEnADx/xPG1Idxtz3uLP0U6ZExlcig3GXEx2MOvs4l21mTgnV/33WDbivHXe8zY7nm6rL2ozprIWFvMVOm99wGrivGUtA2cT0ya7d95K2jWfZZOEkFbouGxS9bz1a1QA0yb7Dp23AUT/cFeLU+W8qX4J1dS+VrJhGSLxDTyeNjftDduo+OWX7Sx2VR/aydXSpo9TTpsZpE0q0aVfLOKLYSXmrj1/pi5aPR5Y0or8SvrdWYM9OqietzhKdJ23yeZCnEt2T+JffuFFAICVYhWOJ+uct076AxY2Kj0pmVSoEmeOCug942kT9x9fw1JQ1ZDovMXEmyGi85Sa0dB508ZeMLCEENIKFdtrOKR7M/o9pFut87je6h8UbwOI/uGuhJxaOKjQEvUB/8ipdVy8K5e4gBBCILdJeZUqm2yn5005gc0GXkfTJmv9QvYmPW92OBuu/mVpiKDnDSqwpDPnLT4InAwvST1vgP/a+Oe3vxCf/cUXtXU85UAv5esX75aZ3PNWqrqbzlHsvXjzN1o4pLv3/PKrL8Mjp9bxZ199DEBCz1ts1mbV9WC16ahmNul5G0uZmMhQvBFCmiOlDFKRO+95U+uh//nVR/F7X3yoZ+dWdVk22W8o3gYQ/cNdlTaqhUPNefNvf/jUOp69b0f9QQL00sn4LshGR+LNX9A0K+1RC10rljbpRsomo0JKfW8llDWGc97aGBVA5210kVLiyEIe+6bHEu9/wYVz2DWZbeuY6n2wVPBDRiLirUHP22994UH8wifvbHjMhY1KTwZ0x8+Rzlvvef2V+3De7Hg4x7Kp8+bItvrdasdI7nkbS5sYS5soMbCEENIEx/MrkToRb1as5+1vbnwSn7jlaO/OzWXZZL+heBtAdOftJRfNA/A/9KX0B24DvvN2dqOMhY0Knr1vquGxcpowiw8tVo5BOz1vatHYbHc4FG9qzpurnLfGZZM15y1BvAlVNtlOYEmS88aLySjw+Jk8FvNVvOiiuZ4dMxRvynnTnJdGaZOPn9nA2fVK4vEW8xWcWC3hUm3YfK/OkYEl/UG/XtbPeYsO6bZdr+3+WX8TLqnnzXfexlMWCnTeCCFNqCWNt7+RFzpvfep5c+i89Z2uxZsQ4qAQ4kYhxMNCiIeEEP93cPvvCSFOCCHuDf57bfenuz0oOy7SloHH3/8avPQSX7yp3RU1JmAxX8H/+sZhAMAVm4g33XmLizclBHNtOG8qKKFZIpraebGCnrdwzpurO2/1PW/+sNz6BZFhCLge2hrSTedtdLnlyUUAwIt7KN7Ue2UxqWzSMOAmCP/T6+WGQSZ3Hl0GAFx3wWzPzlGVTTKwpD/oG1nJaZNumFjri7f2nbdGPW/ZlIGLd+dw0+EFPHF2o4OzJ4RsF8IZvx2lTQbirY1E5naw6bz1nV44bw6AX5ZSXgHghQDeKYS4IrjvL6SUVwX/fakHz7UtqNgespYRaURVLsBqIN4+edvT+PT3ngGwuXjTxwWUY2/UjYoTzI5qfSEY9rw1Ke3RyyZNUyQ2sMZdMNvzGjb/G8LfxVE7Oa0M6WbP2+hy25ElnDc7jgMzrYeSNCNlGsimDK1scnPnzXb91NdGiV23P7WCbMqoS07thik1KoBDuvtCLlMLb6p33vzqBzusIpAdiDcjcY5bOSib/N3XXYGJtIU/+M9HOjh7Qsh2QTn4XZVN9mkz2w7Xe305PEEPxJuU8pSU8u7g6w0AjwDY3+1xtzP+7I76mGqg5rwdX/bTHr/x/7wsXNAl8ZPftx/XnDcNIKFssuw0nQUXR6X7laqbvysjgSWi5rzpNn1dz5srkWog3lTaJHveCACcXC3jwp0TPT9uLpPaJLAk+npd2KhAysazcu44uoyrD850lAbWiJ+4Zj9+//XPZmBJn9D7f+OLIvW96km23faT3i7bPYmVol3nrOUrDsZSJnZNZfFfrzuIm59YxGI+uRyXEEKUg99R2aShAkv6lDapyibpvPWNnva8CSEOAbgawPeCm94lhLhfCPExIcRML59rlKnY0RlTQG0XeK3oi7eq62Eqa+HiXZv307zh6gP4hR+4CEBS2aTTVlgJ4IuotGWgaDdz3qJlk05C2WR818cJyiaTMIQfWKIuBp06b/2aa0LOLWslGzvG2p/n1ozJYI4aEC1HSQosObVWBpD8AbhRtvHQyTU8v4clkwBwcHYcb3nxoZ4ek9RQZZNp06ibJak21NR11Ha9xP7czXjVFXsAAF9+4HRYfgn44ylmxv1B7q+/cj9cT+JLD5zq7JcghIw8Nz52FkDyjN9m1AJLvMh1qFeoCif2vPWPnok3IUQOwL8BeI+Uch3A3wK4CMBVAE4B+ECDn3u7EOJOIcSdCwsLvTqdoabsuHW7KSooZKVYDW+banHxqoTfcqGKz9z+DO5+ZgWAv9vbTr+bfi5N0ya12H9T73nbdEh34x6S0HkLvm/JeUs6L15MRoJ+ibdcxtKcN33Om1HnsJ1Z98Vb0obA3c+swpPAdYd6K95If1HXw6RSJFX9oHa8O+l527Mji6sOTuMDX38cP/6hW8LblwtVzAWppJftmcT5c+O45Ymljn4HQsho89jpDfz+fzwMoL20cIXadLJdD9U+1DaqDU32vPWPnog3IUQKvnD7tJTycwAgpTwjpXSllB6AjwC4LulnpZQfllJeK6W8dufOnb04naEnyXlTZVKq5w1Ay4tXteh456fvxvs+9wB+P5jnkS87bSVNhufSwiBZJcxMU8AQIix31Acdxx0Lx23svKnSy66dN6ZNDj2eJ7FR7p/zpj7M9AW8meC8nQ6ct6TX1B1PLcMyBK45f7rn50j6h7oexsvWgdommHLeqq5EqoNd719+9aUAgPuOreLEagmeJ7FStDE3kQ4fs2/HGMsmCdnGuJ5s6IqpcSbvfeWleNGF7Yd2CSGQMgVsT6JY6X26LZ23/tOLtEkB4KMAHpFS/rl2+17tYW8A8GC3z7VdSHLe1KJCfy9v1uumoxYd68FctyfO5uF5EutlO0yva4exFpw31duWMgQMo1b7HHXeojs+jicbliEZwZy3UBS2UK6kizf1cDpvw0++6sCTrW9etEMkbTC1ec+bct6SQnBuP7qMZ+/fwd60IWNyM+ctuI6qiG7b8ZBuc1QAAHz/JTvx1fe8DABw8xOLWCvZcD2JWU28zeXSFG+EbGMu+o0v4X2feyDxvtNrfubBG19wEFab7r/CrybxUOjDXEmHzlvf6YXz9hIAbwbw8thYgD8VQjwghLgfwPUA3tuD59oWJDlvSelyLTtv2i5y2jJQqLp4ermIfKX9wBLAdwFLTUYF6CJLCBFG/G/W8+Z6suGFyAyOoeJxWxmOK7SHqPImh/FHQ4/q+2y1bLgdcpHAis3TJk+HZZP1H1AnVkq4aL73gSqkvyjxHr/+AlpgSXDt26zMuxmX7s5hPpfBzU8sYqngl+nO5WribT6XCUdWEEK2F8px+6c7jiXef3KtDMsQmJ/IdPwcKVPAdmWkiqoXgW5SSqZNngO63haWUn4Xye1FHA3QIWXHrVuYJpU3To219r9PX4i85KI53PjYAh46uYa1ot3RAngsZSbGXeuEA7dNw4/5D503bUh3fFTAJgEARtDzpna9W2nS1Z23tGWg4ngc0j0CqMTVvpRNau+zsZTe8ybqXq+qbFKVt+jzCSuOiyxnsQ0dE6F426xs0r8GVV2J8XRn4k0IgRdeOIu7nl7BUuCw6c7bzskM8hUHZdtNPBdCyOhSaTJ/7fRaGbunsnWhSu2QMg3YrodCpbaWs10PptHd9cb/PPS/Ztlk/+hp2iTpDcnOW4J4a7NsEgCef8EsUqbAfcdWsVFxwoSzdhhLm3jo5Dp+5u9vRb6SLOJcLW3Sd81qs5GUa5bsvDUaFeBfCKptiDf9SOo5OSpg+Fnvo3hTztvuqQx2T9V2NS3DqO95C5w3oL5/s2x7yHYQ4Uy2FiXek8smo86b7XhIdVA2qbhwfgInV0s4s+GLtzltF30+cOFYOkn+f/beO1ySqzz3fSt17t5578mjkUZCCQUkhMgiWWCwsQ8+GAy+BNsY+2LfY+Da5gA+9nEAjG1wxoAxx/IFm2SMCQJETqOEpdFIGo0maPLOoWPlun9UrVWrqqt7d9zdtXv9nmee2dN7d3f1nu6q9a33/d6PM3qEk8HDXNyoYdd4qqvnkCV3Q5JV3noxBzfQGsNtk32DF29DSFTPWzpi97X1wBL/vrP5FA5MZ3H/aTdxciLb/gI4k5BQUk3cfWoVPzi+HPkzdEi35NkmvX9btu3OfhOFup43w3IgiY1tk5bjRIZJNCKsvAHBOXOceNJP5Y30qN28fzKgpEmhnjfHcTC/odLgnHBh5yom/PQaN0jx3kx5oz1vHaRNsuydzMB2gCPnNwAEbZOkkOPWSQ5n9NisLWV+Q8WOsXRXzxGtvHVfbLEFIFfe+gdfXQwhUcqbKArIhmxYrVoe2eCF8bSC2XwKjy+U3X93qLwRWKsPCzsqgE2bNCynbvYbwbIb72SLXtqf5p3UEtLmqgYbNkkWWRa3TcaefhZvZ1bcFK8b9gZTIsNz3jZqBjTTxo6Cu/vJbgoYlg3TdrjdLYbkmilvcv2ct26Kt32TGQDAA2fWASDggpjOe8VbiStvHM6oQazZUTiOg4sbKnaOdae8KZIIw3YChWIvlDe2AOTKW//gxdsQohr1yhtQb51steeNXYhMZBXM5JMoebstE5nOlDdCI9OQaTsQBDfoIdzzJktiZA9RsyHdkqfeUeWtBVUjSnnjQ7rjTz+Lt1c+dQ9ySRkvv2FX4PZwYAmxTO6ZcHc/2fcyWdxHqeWc4aaZ8kZcCkueldGwnO6KtymveDu7jnxKDljBuW2Swxld2DTvsIVyrRrcOOwUdw1mo8KMCtA36bVrBTYUjrep9A9evA0hmmlHFifh0JJWF6+s/WssnaALAwAd9byx8eeNBjyaTPiIKPppk5Y3DiBqbpZpOVAa2Sa9wJK20iaZOrBRnx0nfmzUDMiiENhE6BU37Z/EkT+4HbOhC2N4s4GEleyZcBfg7AWL7Jpy22T8yCfdc2qU8pZPKZjMJnDaU2cNy0ZC7rznbS6fQkISoVs2pnPB1Djy70cuFjftf+FwONsL1fQ/8ySNlrDkqfGzhc6TJgE3TM5NmwwGlnQLuya0ufLWN/jqYshwvETFqLADorwR+2SrgSUs4xklsFAY70B5Y3elGw29dme2uW8vgVHeiG1SkcQ6Fcy07YbKm9s3h7YCSyKVN26bjD0bNXdAt9DKpPYeIYlioPBfCClvhl2vvEUNeuYMNylFhCQKDS2v+yYzOLNaAdC9bVL0NrEA4PLZXOg43Of/5x+dxp/e+VjHz8HhcOKHyihvKyH1fb3qFnOdbLyzJCTB63ljbZOdrY8Wiiou+d0v4Z5Tq4E1Flfe+gcv3oYM0gwfpbwRpWHC6zPrxDY2lnZtk4TOlDemeGtgQ9RNmxZMbNqkabm2yUjlbZO0STawpLXizf+aK2/bB1K8bSWKFAzYuegpb7vGiW3S/57m7Zrynrf4IQgCdo6lAudIlv1TGZxZJcpbd7ZJADTR9F0vvbruey+5dgcA4Nxatavn4HA48SJKeavqJp71vm/iyw9dBNB924AsiSipBi56A7+BzpW3e59YBQB87PunAmtCPuetf3Q9543TWzRiuYpQ3ohtctd4GhfWaw3DQpqhSCJV3hKS2JH1jLUsNtqp0UyLWo9Edki3V6DJllB3X2KpjEIS3GKvrVEBkcobP5vEndWKjrEOFONuCPe8LRRVTGUT9PNjBHreyGeY743Fkc/9+jOofTLMvskMvnj4IgzLhm7ZDTebWuWf3nALijWD9r+x/P1rb8Lz/uzbfBOAwxkxarq/TlnxEmeXShrOrdXw3cfdhO9OXFMssijg7lNr+LEXmAQ0boPZDLJe1UwLuulfC7ltsn/w4m3IILv2UcobsU3+95v24PdedjWmcp15nknxNpHtzHrGRss2siFqjPIWCCzxbJOSVK+8NRsVQIZRam30vAGuZdNxQFMsufIWf55YruBpl05t6XOG0yaXSjpm8klqDWZ3G4ltki+648lsvnEQwL7JDCzbwfm1mtvz1qXydmA62/T7imdt4nA4owObAElsk8TeSJT/bpW3qA1wo8PAkiSdgWkHroW8eOsffGt4yFCbKG+keMunFFy7e6zj5yCWoE490yVt8wZX3bSp8iZ4owLWqzpOr1YhiyKUUA8R0HxUgOQVmSSFqdVFE+l748rb9qCmW7iwoW666O01kigGNipWKxomswmqvJhRyhsv3rYd+6fc992p5Yq3KdTfSyiZxcThcEYHNqSIBJSQYBHLS+UOB9i1ixYxjqDTnjeyllNNK3C+4j1v/YMXb0OG2kx58yxanaTYPWXfOG7c586umswmIAqdy+7PvWKGft1oYeEqb+7xkgLqvV85imMLJfz8U/dGDuk2rcajAojyphoWFEmg/94M8mPkWLjyFm9OLbthEZfObG3xlpAE6JYNx9tJXK3omMwmIhXdGh8VsG3ZNe6qcmT3eyuKN52HLHE4IwUp3iazCSx6xVuZ2TQf70Fg1+OLJQDArz7nUvzmCy4H0HnPGykENcMOFIDDrrxdWK/hm0cX6HU9TvDibcioespSNlG/q0KUt0529D/368/Ev//6MwG4/TuT2WTHytszD07jh7/7fACNiyE9ZJsE3B2ky2dzeN0zLoEk1ve8mXbjAABS1NUMqy2rEjnBcdvk9uDksjtcfquVNyUUeLNS0TGVTfi2SSvKNslPr9sNcs4ku+GNnAK9IiGJHVuZOBxOPCHXkH2TGSyW3HCsKpNA2Yue77WqOy/1Dc88gBdf44YjddrzRu6nmlbAHTXMytuhkyu47f3fxhs/fh/e/unDtGUpLvDVxZBBpPF0RJAIkcmjZhC1y9t+4gr84q37O74/Xcw2VN6YwBKv8DJsh6pwSuiDfceh0zizWm06pBvwirc2Xj95NHIsw3wy4WzOqSVXedvq4o285wzLhm7aKKkmJrNJaps0IoZ0c9vk9iOTkKBIAi3e2jkXdYIi8543DmfUqBkWJFHA7ok0Fouk5y2ovHUL2XiaKyTpvMpOzzUkSE4zbFps7hhLoUEY+VDwHw9cQFIR8eu3XYYfnVhGsWZufqchggeWDBlVryk1KgWyG+UtzKtv2dfV/ZWIRSuLbtr0eEnBZjFz3MLpff/wnRMAgJc+eWfk47G2yXYWTGyx6B7vEJ9NOJtycrmCXWOpwKD4rYC+f0wHJdNN/5rMJaIDS5qM++DEG0EQMJZOYMkLEZAbBCz1CkUSUVbjtajgcDjdoRo20oqEuXwK3y4uAggqb+NdzngDgK/91nOxXNYgCELX6yOiWqmGhQWv2NwxlhrqzfJ7n1jFzfsn8NsvvhK/dttlyHcwN3mQ8NXFkFE1SPFWvzjdN5lBgon6HySyVL9oZdEtmxkV4N5mWA79WhaF0GwsG6++ZS+ed+Vs5OMRd1JNb7d48+4vChAFrrzFnfkNFTu92WpbieK953TLptHNUw0CSzSuvG1rxjPKltkmec8bhzN61AwLKUXEXCGJim6hrJmo6P4mTi/mnB6YzuKpl0wC8Dcn9Q4t2uR+bvGmYiKjIKVIfV9vPeUPv46Pfu9kW/c5sVTGL3zkEI4vlvHUA+7rj1vhBvDibeioeR/QKOXtmQencN+7X9hwgOxWspnyphlszxtZ4NpUQQsrb4ZlN23+77TnjTy3KAiQRbHjNCXOcLBW1Tuab9gtCe/9rls2Vr2hqZPZBBSxfseS2iYjEmM58Wc8rWyZbTLB0yY5nJFDNSykFAlzBTcgaaGoUlcW0JvijYUWbx2uj2jxZtpYLGmYK6QgCf0NLNFN91r8R196tOHP2LaDbx7SsTHLAAAgAElEQVRdCBSR3zu2hB+eWAEA3OIVr3GEF29DRqWJbVIQBBSGZIcgatHKojMzkEgoksn0vEmiAJv5QOlm85lJIi3e/BTLlvCeWxQAWapPuOTECxIUstX4tkkbKxV34R5Q3my2582GKPRfleEMhvGMQm2T/U+b5D1vHM6oQYq32YK7Ub9Y1ALKW7cDusMkmOtbJ5D5u5btYH5DxWwhBVGon+XbS2r65gEjX390AW/8+H2488g8vY0EtbzleQdxw97xvh1fv+HF25BRa2KbHCZEz4bYcEi3YSMZGhVgWg4NHpFEAZYTKt6a7GKTx1Dbtk36yltUwiUnPjiOg7WKjolBKG9MYElAeaMKtH/RqxkW0orUdZQzZzgZzyTooqTbId2bofC0SQ5n5CA9b7N5V3lbLAWVt14ElrAoPQosAVxb4mw+CVHsb/FWNep7gcuaiZf85ffwtk89iPWqjq88dBEA8P3jS/RnlsvujNa33/4k2v4TR4a7QhhBKpoJWRT6bsfpBbIkwmjS8xYeFWDaNlXhWOXNth2YttP0NbNpk+1YBshzk6Zc3vMWX4qqCdN2Bqq8EdukILiL+JLqD04lkF1TzvaEXTjtmexv/6Ui8543DmfUqOl+zxvg9npXdBNzhSRm8kncuG+ip89Hrm9HLhRxYqmMy2Zybd2fHTFQ1S3MFZIoq2ZfbZPVCOXtkQtFPHrR/bNe1XHPqVUAwPceX4bjOBAEActlDdO5rV9D9JrhrxBGjKpuRY4JGEYUUWiivPmjAki/WsA2Kfg9b+SD31R5Y3veOlLeSJ8d38WOK6zitdUkmIbulYqOiUwCkihEBpaohs2Lt20Ma1m6ZKq/Iyt4zxuHM3qoprsBmEvKSCkilssaqrqFmXwSX/yNZ+P6Htv9ZG999Z8PXsDvf+Hhtu9PQroIc4WU667aItvkuz9/BEfOb+D4ojsH9vXPuATfOLqIsm7ipdftxLm1Gs6sVgEAK2UdU9nB50Z0C1fehoyabkUO6B5GFLnxwoJV3gTWNumdJFhJnfilm1mQyLfatU0KtOdNaFpscoYfUrwNwjbpRyk7WC37oSn09sCoAIuPCdjGjHkx3WlF6nuRznveOJzRo6ZbmMklIQgCpnNJLJd1VDSzb+00giAgIYnQLRsLRbXt+4eHexPbZD+NTqzydseh0zi1XMGTduSRViS866VX4ZYDk7hiLg9RAL50+CK+f3wZ+6eyWC5rePKe+Pa6EfgKY8io6GZkWMkw0ii90bYdGJYTmTZJbZOCQCV14pduNnyc9ryZ7aVNCqzyJgUTLjnxghRvg7BNhnveSPFGdizDowJ40uT2hdgmt0IBVrjyxuGMHKz13i3eXOUtl+zfxj5xkZDrbDtoXuDcXCGJm/dP4Kb9k31Pm6zqwZ637x9fxpcfuohLZ7KQJRE/+eSdODibw4HpLHaNpfD9x5cBuMrbdrBNxkPiGSFquoVMMh4LP0UKzmojkF0YP7DEvd2wfeWNLaSMFmyT5H5sUdgKgZ43UeTFW4xZI8pbDwaUtovCjApYqWi4Yi4PwJ93GBwVYCPFlbdtS8Er3rZiAeAWbw7t1+BwONsfElgCuMXbubUqdMvG/kSmb89JwvLWqgZs26GtKq2gmTb2TKTxzbffRm/rd2BJOG0yk5BwcUOls+sIgiDgmQen8bVHFlDVTZQ0cyhmJXcLX2EMGRXdREaJR00tN1CyqA0ypLxZoZ43ElhClLemc96YhUs3aZNRxSYnHqwQ5W0Au2bsqIC1qlGvvPHAkpGBnIn297nfDWAVX77pxOGMCmRINwDM5BNYLuuoav1tqSEimWU72KgZbd03Ki2cXeN1ymPzJRxfLEV+LxxY8svPvhQAUEjX/46edfk0NmoGfnDcne/GlTdOz6npFsYHoCx0giJGW3o00/1QJWnPm3u7YdmBOW9kVEA7gSWb/VwYci9J9NIx+SIotqxVdSRlke5IbiXkPaeaNtaq/qw5P7AkOCqg10NUOcPDMy6bwm++4HK88ZmX9P252FEUcUgg5nA43aGbNjZqBia9UI3pXBKrFQ1pRdoyV9ZKmyN5dNOua3sJj4PqhN/57GHkUzLu+KWn1X2P2CZvOTCJtzzvIG45MInFoorXPf2Sup8lG20Pnd8AAB5Ywuk9Vd3C7ol47No36sfQQ8obsTy6yhvobSTjQW8lsIRR3pr1xoUhViNBECCLfEh3nHFTohIDsY8R5W2xqMJx/H4nf1i9e5FyHAcXN1Rcs6uw5cfI2RpkScRbX3TFljyXEmHL5XA425flsgYAdED3dC4J2wEqWxhmt1LWcHC29XEBmlkfJOfaJrs7jvPrNTouIQxR3j72+qfSXsD3vuK6yJ8lm62PzRcBANP5+BdvfCtvyKjqFtJxsk1GKFlaKIBEjEibdEcF2IGfb6XnbbOfC+OtrSEKQkObJycelFQD+dRgFC3yniNJXJOeZ54Oq/fey0+sVLFa0fGUHs/h4Ywm7HxBDoez/SHXmDmmeCNslfLWbmiJq7wFj40NpWuFC+s1/OjEChzvPqZlY7ms0VmqYUjx1ooTh/wOH7noFm8z26B4i0eVMEJU45Q2KYkwIoqhcHokEUpM27dNsrsyYaUuCtY2mWwjbZKd8ybzUQGxRjMHFwRC7GvzRXdXlE28lCU/COf+02sAgJv28+KN0z0Jife8cTijxGLJU97yKQDB/ixyW79Zabd4s2yMh5U3AW0Flrz/q4/h3//rPHaPp3H5XA7Pv3IWjoPI4u1VH/4RHjy7gaQsBjb2G5FOSMgmJJxdrUEUgDlevHF6TSVOaZMNAkDCxRgpoGzHL8JkkRkVYG0+KqDTwBJyL1EQIIsiH9IdY1TDQnJAQSBkEb2w4SlvTPHGzg+8//QaCikZl820bjnhcBqhyF7Pm8nPWxzOKLDoKW/UNskUGrdfM7clx9Cu8qYZdl3biyi2F1hCnvMp+yfwoxMr+M6xJQCu44ZN23UcB/c9sQbTdtoa1zKdT6KyUsVsPkVTouNM/F/BNsKyHeimHa+0yaa2STIqwC+82J43UvgZtOet8cKc3VzpJG1SEBqnY3LigRbRFL1VEPvavHdhrVPevPfyIxc2cN2e8bZiljmcRvCeNw5ntFgoapBEgYZqzHrF29U7C1vSNpBPye3bJi0byZArRhLaCyxRDQu3HJjEX7/6Rrz21n00/dKwHLqmBNxAMLKOaye8jFyzd4xtjXrZb+JRJYwIJD0nLrZJRRJRMuol7Xrlzf+exET3kzqq7bTJtoZ0gz4ft03GG9WwBuZVp8Wbp7yxSVyKJFD7cFkzsWeif7N4OKNFuOftziPzuHHfOOYK22MBwuFwgiyWVEznEtQOmE8p+OSv3Irr9oz19Xnf/bKroZkWPnXv2fZtk2a98ia1OeetopvUFnrljmDgV0k16fgddoxBO2tl0ve2a3x7nDu58jZEkAbM2NgmpWgbYv2oAL/wEuioAN8P7c95a6xWBANLWv/9sD1vEh/SHWui4oi3CnZIdyElB2YSyqKvvKlG/Q4kh9MpbM+bbtp487/cj9d89O4BHxWHw+kXC0WtbnPm6ZdNIZvsr9byS886gF+/7SAmsgmstWubjJjzJortBZaUVZOmRl65Ix/4Xkn1C7ZizRcM2ineprzibedYuuX7DDN8lTFEFL0dhVyfP6S9opGS1WhUgPs1+Vv057y1EljS4agANiBFkfiQ7jgzyOHXgiDQhXQhNMONtQ9rpjWQOXSc7Qlrmyxr7qLl/FptkIfE4XD6yGJJo1bJQTCWVjoa0h2VNtmO8lbWLFqg7pvMBK6jbGhJkSnk2glymvGCX3ZuE9skL94GwEbViCwizq+7F+Vd4/HYGWg4543YIKV626QYobxpLdgm2QJwMtd6kyqp+QRBgCyJbZ1MOMOFOkDlDfDVt/Dmiiz6tsmaPrgCk7P9oEO6TRtlbwHTzKHA4XDizVJJG2iU/XiHxVu08gYa/b8ZFc1EznOdiaKAq3cV6GMGijfm2NhCbjO48sbpivWqjuv/99fw3q8crfvehXW3n2Z3TIq3RgEgmuEFligRgSXMnLewbTLZJLCETZucybV+YhNCowIMnjYZK0iIDwBoA1TeAEDxLiR1xRsTWKIOcJwBZ/tB3nO6ZaOkuQuVdmzjHA4nXlQ0c2DzTIH2lTfbdqBb9cWbxKSMb4ZlO6gZVsAa+mf//Xp84JU3AAjZJpmvG82Ai4LMzds9EY/19WbwVcYW86HvnAQA3H9mre5759erkEQhNs3obq9PRPEWUt6EgPLm/i1507NtZnHePLDE/5pE6LaCGAossXhgSax487/cjyve9RUAgy+MyPs5l4pQ3iwHhmXDsh1um+T0DLbnjShvUerz/Iba8g43h8MZTkgRM8jQurG0gqJqtBzz32jUE2mRaaXvjVjC2Y3RA9NZGtISVN6iLZSb8fwr5/BXr74R1/c5+GWr4MXbFuI4Dv713jMAgF0R0u35tRp2FFItDR0cBhKyQD+4LJrhBZYowTlvgL8bQz7Ypu1Q62WrtkkSodsKgSHdTCogJx58/ZEFAIDpFUZhX/1WQvqPwsqbIomwbBs1733PbZOcXhHV8xa2TR5bKOHW93wDdxw6veXHx+Fwege5hgy0eMskGg7HjqJR8UZcVq20qlQiijcAKHgKZEmLtk22s1+VkEX89PW7AgF6cYYXb1vIetXAetV947FvRsKFdTVWki6bssdS3/NWnzZJPti24ypvkig0LVpZ22Q7xW2g503kPW9xpUoLowEqb97FKR9W3jz7sEo3LXjxxukNtOeNKd7Cm1wXvfEV//ngha09OA6H01OqGhkXNbjQujEvkGu91lriJGmTaWybbL14CydqEpfLubUqHaVVVA2kFQlPv3QKH/z5G1o6xu1IPGINtwmnV6v063KE3Ht+vYanHZjcykPqioZDuo1Q8cZ8piWm5w3wepqs+hkhYTodeiwwc+UkUeDDbmPKesX9vAxWeYsOLFFEN7hH1d33FrdNcnoFnfNm2nRQbXiRVPMWNe3OZuJwOMNFxRsXlR3guKhxr3hrte+tofImtK68RdkmAXe9mFYk/NMPnsBD5zbwmV97Boo1E4W0jE++6daWjm+7wpW3LeT0SgUAcNlMlr5ZCaZlY76oxiZpEvDSJiMCQMqaiUxCogVXILCE9rx5H2xPedssQU3qUOr2e97c3qRWfdyc5vzCRw7hfXfWh+70EraHZ7XqLkwHqbyR93EuGT0qQDUHrw5ythekUDMsh7FNBt9fa56bY6XMizcOJ84QdWmgylumveKNtMlEpU0CQCsZceUGyhvgW0nvO+3mRBRVg9opRxm+ymiBxZKKj3z3ZEcN4YZlU2vh6RVXebtqZ6HOT7xc1mHZDnbGaPp7ozlv61UDExk/zj8ybZIUb5bjDXhsvtNEfl5uU4ETWeWtQTomp31OLlVwaqnS1+cgFmMAdGjoIJU3otqGA0vIyAxim0zxNEBOjwj0vHnXjPBG1qr32dioGdwWzuHEmCpR3gZYvBHljb3+NmPes23P5YNrV7Ifb7Vhm2w243gsreCDdx3DV47M181aHUV48dYCXzp8EX/85UdxwXuTNiKquPvl/3Mffu8LDwNwi7cdhRSmc0l6ISaUvRjoQUbEtosiiTBtp+51r1d1jGf81xE95y2ovLU6v2uqjRlvAECeWhDqh0aeW6visflSW4/HcVFNiypN/WKxpNGviSVskKoWsa3lQpaWXFJGSTNR8y686QE2m3O2F1E9b+GQqPWqr7idZaz5HA4nXpAiJjNA2+RYm7ZJ0g60byoTuF1qI7CkrLnXzqji7W0vugJJWURZM/HBux4HMNhAl2GBF28tQAqtcMHF8sG7juHZf/otLBaDBd7xxTIeuVAEAJxZrWDfVAaFlIyybgYsfBX65o3Pm9JfWAQ/nGtVPaC8CZFpk0RSj54REobUhzfsHW/rGFnlTRaFwC7Qs973Ldz+we+29XgcF9WwaLHSLxZL/mdpGJQ3v3gLbrDkUzJKqgnV+z63TXJ6Be15s2zq1iCjVQhrzA75yeXy1h0ch8PpGYslFYtFd8NykMpbod3ibaUKRRLqhl+zoXSb4QeW1F/ff+MFl+NdL7s6UATefXK1pWPbzvBVRguQHc9Sk5kS3zy6iHNrNbz1Uw8Gbi/WDCx4Bd25tRr2TmSQS8lwHD9BD2B2XAb4oW0X2VtYmHZ4J9igvmkgrLy5f5MizrQdGObmgSX7pjL4h1+8CR9oM11IYHrsJFGE46Cu7y0ufXCv+egh/O23jg/6MOA4DlTDpsVKv1go+sob6XlLDlJ58z6vYdtkIa2gpBp+2iS3TXJ6BLVNmg51Z9QVbxUdeW/Hmve9cTjx4uuPLOBHJ1bwhn+6F+/8/EMABqsspRQJKUVsuXg7s1rB3olMXQq41EJgyQfvOoZLfvdLTXveAGBHaPbx//PCy1s6tu1M3ysFQRBeDOAvAUgAPuo4znv7/Zy9pkSLt8bK22w+BWADT6z4fUCW7aCkmagaFizbwVpVx1QuQXfuy6pJZeLKEHid24X0n4WVt/WagYlA8Vbf88bOAGlFeQOA26/Z0fYxsnPe2NlyCeZEs1zWMBuDwejHFsre+2ywEAVKM/qnvD10bgNv/7S/ETIMyhuxq4WtHfmkDNWw6fwZbpvk9AoyQoW1TWp1ypuOAzNZHD630XKfCofDGQ7+7KuPYbaQxPn1Gl1LDdoWOJZWsNHiueT0SrXOMgm0NueN2CCPLZQgi0LD9hm2ePv+7zwPeybqn2/U6Os2tiAIEoC/BfASAFcDeLUgCFf38zn7AbFLNpvmTsIMyhHDBC3bwcWNGlTDxlhaoTv3rJLXTDYeVsiuMDvrzbYdrIdsk+yODO15Y2aA6GZrxVsnsHPeJG9mQVjGP7tW68tz9xrDsiOHom81RGGq9bF4CyuMq0PQ80YUj/CcN/Lv5TI5xvh8hjnDjyIJgcCScPG2XjXozners5k4HM5wUFQNrJT1gNLVSIHaKsbSSkvnEsdxcHqliv2T9cVUK3PeLp3JAgAOnVxBLiU3HKA9N5YE4CZa7hqLTyJ7P+n3SugWAMcdxznpOI4O4F8BvLzPz9lzSEEWjvdnocWbatIAD/bD+PiC24tQSMl0sccO6q7ozWXjYUSO6HkrqSZsBxgP9Lz596GpkZJvm9RbsE12SrjnjTwnAOwcc3dzvv3YIh6+sNGX5+8lhmnD6LNVsRVUb46fuknx5jgO7jh0umX7BcGwbPzg+DJ+9sbd+NbbbwPgqgvAYAsjsoFYp7x5IUOkRy/Vp40IzmiiSKLb80YCS0JBQatVHZPZBMbTSqD/jcPhDD8l1cTZtSrt6xeF+plpW00+pdAchigcx8GHvnMCR84XUdZM7JvK1v1MK4Ell3j3Wyhq2DPRuCibziYhiwIumcp0PPN3u9Hvd8huAGeZf5/zbosVZMezmW2SFG+m7dCd0XVm0frYgptqWEgrtD+BDUCpamQ4Y3yKNzbGmkAW2ePpaNsk+ZLcZtsONMuG0mflTRQYGd8KFm9//c3jeOlffb8vz99LDMsZiiHjpGgjRVwjHr1Ywrs/fwRv/bcH2nr8/zqzjpJm4vZr5jBXcHfcVqhtcvCFUbjnjWzGLHnpmNw2yeklaUVCVbMilTfLdrDh2dTHM61bnTgczuCxbHd+I7u2TMpSQwVqqyAJyscXy1gpa3XfP7FUwXu/chR/8fXHACBSeYsKLFENC8cX/YRvNqn8lTfvbXg8oihg53gKl07n2n8x25SBr4QEQXiTIAj3CYJw39LS0qAPJxJilzx8bh1/+63jkSMB9JD6BASVt2NeJD1rm2SVPPJ1OkaWK0UKKlmAX7BOZBv0vDUYFbCVyhtJnIyTvc1xHBj2cNgmay3aJsl/+yMXi209/j2nVgAAzzg4jZQsQRD8nrdh+D8L96US5Y0Ub3zOG6eXFNIKiqoRGBVArkE/PLEMx3M6jGcSdPOMw+EMP1FuLq3PI3haIZeSUVYNvPAvvoPnvv/bdd8nTqVDXurj/oieN9826d/2rs8fwQv/4rv0el5lEqt/5sbmus5fv/opeMdPXtnW69jO9Lt4Ow+ALaf3eLdRHMf5sOM4NzuOc/PMzEyfD6czyAfsyw/N4/1ffSzSmsLa2cjPB4q3RaZ4i1LedBNpRapL7BlmSKFZ1f3XQZW3wJBu/z7hUQGrFR3n16oopPujOPo9b/5zknRMVs4P9zENG5btwHHc1LlBQ5Q33bSbJnUShWCpVL9z14z1qoFsQkIhpUAUBaQViX7mBqm8XT7r7vqFP6Os8paQRG7r4PSUsbSC5bKGqm4hIbmJuYblYLms4Rf/8R4AwL7JDCYy3DbJ4cSJqATzYQi/ziflpu1CZEOWbODujVLeyJBu5gXdc8ot9sgmv2pYuH7PGL7+W89BYZMZxzfsHcf+CHvmqNLvldC9AC4XBOGAIAgJAK8C8IU+P2fPCb95o3Y3DctXj8oh5S0hiTg27/a8jaUV5L20STYApaJbsbJMAqAfNlbyJwNjG815o9H93hd/8bVjKGsmfvlZl/blGFnlLezBZuV89niHEdJXOAzKG2uXDIcnsJA0SrPNq1FFN5FhPgvs+IxBKm+ffvPTcef/eHbd7QXa86bxGW+cnjOWVnB6xR2ESxr3dcum59rfeuEVeMFVsxjPJLDBlTcOJzY0a8UZJLmkHNgICrvNyOxiwE2CjLou01FSjCuNXB9JQF/NsLBzLI3L5/K9O/gRoa8rDcdxTABvAfBVAI8C+JTjOA/38zl7jeM4dcO5ieTLYlg2tQqWvHk8JG3yih05uuhuZJusaGaskiYB3y7GnoDWKu5rZnveWKWCfE3+vu/0Gp5zxQyu3lXoyzGKtOetvnizbAfPvnwar7x5D3TTxh2HTuOz95/ry3G0y1/e9Tje/fkj9N/k/TMUPW+MraOZdZKdA+c4TstDvcuaFQgFIZ8LUfDHUwyC8UwCV+6of58S1bismUNh6+RsL8bSChY99ZpEZuumTS1H1+wqQBAEHljC4cSMoS3eUnJgnuQKs+Z1HAcPXyjStVXUmAAANEGc3XAmo36IcFEzLN4j3iF93yZ2HOfLjuNc4TjOZY7j/HG/n6/XaKZdpxysRhZvDlVvWOUtpYg4OOM3WRbSCiRvngW7mK1oVqxmvAG+XYyV/smHspBuNKQ7WLwB9el9vUSgypu/8PeVN/f7CdlNc3v354/gbZ9+sOFjbSUfuOsY7jh0GnceuQjAH8fQqHhTDQuv+9g9ePDset+PjZ3v1ixxkv3e3adWcdXv3YkvHr6w6eNXQxsZxJ6bUgbfyB0F+/7lxRun1xQYS/ecV7xppkWLNzITaiKbQM2wNk2B5XA4w0GUbXIYCK/JPvb9Uzi76qr/GzUDqxUdN++fBBAdVgL4mQjsmoUob0TYqOk2L946hHt8NiFqZyTKNqlbNiazXvHmKWrrVR1jaQX7vDd3QhJpQmNCFgOWs6oeR+XN/YAXmd6+mmEhKYuRs90AP4GI/X6/wkoAgDyLwChvJmOblAQgIUmBXaZhgMw/+eQ9blgrtU02OM7ji2V859gSfvWO+/t+bLUOijfidf/Id09u+vhlzQxYJYmdeBiSJqOQJZEuoOMUOMSJB2PMRtgco7yRzT+y+BnPuD/X7mgODoczGNj15TBZ7sMZAH/37RP43c8dBgAse+mTTz0wASA6rATw13XsmoUobxtMzxu/ZnbG8LxbhpSoZs3VSkRgiWVjwive2LTJsbRCmzmD8rEY+HcltGCNA1G2yZpeL4MLAeWN/O3fqPSxeBMZ5Y0UbzZjm5RET3kbsuKNHA8pgAyqvEX3jy0U3Rlj897f/YTteWs2LkBjvndh3R2Efvj85vP0KroZ2PkjhdEwq1rkYjdMF2DO9oB1MUTZJsl1YzztXn944iSHEw9Y5Y04t67d3Z8WknbIJevDQyTRvbYtldzzyy0HpvALT9uHlzx5Z+RjENukEVr3AkCx5s5DJkF9nPaJV7UwAML9bkCDwBLTxmQmqLyR4m1fhKysSMGCoaJb2DMRr/+OhCwiKYuBYeM13UIm9GFkC7Vw2iR5nH7hnW8givVDui3bgcjYJocJsqse7nVrdJykOALcgq+fhQ6rqDXvefO/R6zGjrP58VU1C5kp//vk/ROVaDUs5FMKFooakvxCxOkxrPI268091EybpvxS26SnvK1FbC5yOJzho+itLwXB/Zx/+TefPRSblOws05++fhe+8OAFGlqyUvH7b//kZ5/c8DGi5gDLnpVyo2ZAt2zYDp+L2il8m3gTSPgIy0o5uuctm5ShSAJVokqqiUJKiWzoDKs9rvIWvzdxPqUEdo+qhoVUonHxFtXz1k/lje15I8/Npk2S/sNho+ItzMKKW6Oet3NM8Xb43ObqVjcE0iZbtE2yA+sfvtB87ltZCypvT6xUAABv/4kntX2sWwVRPm89MDngI+FsN0jxllYk+rVm2nTjhFw3iEI3rH00HA4nSEk1oUgCJjMJjKUVTGQTQ1HMsNffd7/sajzvSTPU6rjshSdN5ZondJN1HdseRNYxRdWAqru3D0OxGkfiJfUMgLDylpDFOuXNcRzolo2ELCKXlFH2Cr6qF/8/l0/VPW4irLxpZuxGBQBuM32R+R2pulVXhAYCSyJ63hS5fyEUbM8b2fVhA0tEQehrz10nWLZDCyTyHqFFXAN754V1FbIowLQdnFou45Y+FhFsUaY2GSjKFnkbTApeVForS/iz8L5XXIeHLxT7+pq65d0vuxorZR1vfm5/Rl5wRhdSsE1kFD/BzbRR0YK2yXxEijGHwxkeHr1YxHJZw7Mvd2cal1QD+ZSC2UIKs4X6deKgYHvextIKxjMJnFhyN1FXKjpEYfPxSklqm/RbPcgA8o2aUbf5xGmP+FULWwy5EP7lq27AFx64gIpu1qVNEhteQhKQTyn41tElHDq5gs2VNHIAACAASURBVLKXmieKAmbySTz/SbP0PglZpAty1/trxS6wBHA/5KXAsPH6BlQxEF7i/i0xalxyS3reBPo1DSyxHYiiQFORhgXWihie79bMNnlwNoej86WWI/k7JWCb1Jv0vJms8uZ/Zip648WlbTuoGhayzAn91kuncOulU50e7pbwypv3DvoQONsUoqiNZxK04V8zLdR0E4Lg91mS3fJhjR/ncEadX/nn+3BurYY7/8ezceWOAkqqiXxKxt/8wo1DlTZOziVpRUJCFjGWVuhcyeWyhslsIrABH0WUbZL0wbPFG+9564zhkhyGkEums3jd0/fjeVfO4h9f/1TMFVJ1yht5cyqSCEUScH69hld9+BCqTAjJve98Id73c9fR+7B9VmQcQdwCS4B626Q7tyP4OgI9b1HKW1+LN/9v2WuAo3PeSNqk3NnJQzdtvPVTD+C0Z+vrFVVm55wobya1TTp1AzMB4PyaW7wBQK1JiEgvUFtOm7SRTUhQJAHrjPLWrLisGRYcB7FUoTmcfkCUt8lsgu5mk8CSNDM+I2p+KIfDGR7IdfxPvnwUAFHeZFw2k8OOseFR3si5hJx7xtIKiqoJy3awXNYxnUtu+hhkU5x1mBELZbFm0HUAt012Bl8hbcJT9k3gKfsm6L8nMok65c0w3Q+kIolUWgbcEJJGi9CE5I8KIKlh2RjKx/mUHEg4rOkW5grBDza7QSNE9bz1M7CEUd6ihnSLXtpkqziOgz//2jH8zI27cW6tis/9+DyWShru+KWn9eyYyfshrUiRw7kNy0GCsZoalo2FkopLp7MQhOYhIr1ANWyIgms7bW6bdINJREEIhNpUmhRvRJXjxRuH4zJGlTffNqmZNqpG0KKelN1dcq68cTjDCXGjnFtzZ6aVVBP5iGTHQUNUQPbcA7hF13JZa6l4i0qbjLJNDkOPXxzhylubTGQSKKkmHZoM+FY2RRbx4mt2APALsUYFGRtY4nt/47dgdW2TQeUt/DqEyLRJ//t97TkTyDGgrnizbQeS0F7xVtJM/M23juOrD8/T4rvXgSekgBnPKPQ9ogeKt6CyNr+hwnGA3RNppBUJtSa2xF6gmhbGPb97MxVNNWykFKkugbHZ8ZE+njhaiDmcfpDx1OuJTFB5ixrLkk/KPLCEwxlCVMPCWpUMp3avc802+AeJJArIJqS64u2bRxdx9GJp07ASwHdU6Va98rZRM/05lVx56whevLUJ2elUzfrFdEIS8PevfQpe/4xLqLqQafDBTLLFG5GPY7gD4dommVEBETHwgcCSqDlvW6y8mbb7e+8ksMRg5q/5xVtv/9+I8jaWViKDSsLFGxkTsGvcK976rLzVdIuezP/oS4/iE3efifw51bSQVETak5NSRCQksbny5il0w+T/53AGiSAI+F8/dQ1efcs+P7DEckcFZJTg5ySXkrltksMZQuY3XIdSLinTa3xVH96U8VxK9vttvRmSb/v0g5Eb9FFEDekmPW9FlQeWdAsv3tqEFFis4sD2vAmCEEjhyTVQENieN/JY4flocSCfck9EJvNa6tMmmcASr4Ai/WeAW/T2CxqQwsx5sx2/501sc1QA+39GYvJ7PaeOnNgnMgm/5832+9zCA8XPe8Xb7vE0UorUNESkF6imTQe0A8D//PeHIn9OMyykZInurCVlCemEFOjpC0OLtyHcjeRwBsVrb92Pq3cV6IJIMyy35y2svKXkyNmkHA5nsFzYcK/Tl81k6ZpvmIPqXnjVHJ59+TQAYCwTtHbeeunmyc9ktm6UbVI3bZodwXveOoOvkNqEFFiNijcgGLPaaIeCHdIdZ+8vWcSXNRNjacUNLAl9GKVA2qSnhDH1Tn8DS/w5b1R5sxjbpNhe8UX6G2uGRcM6em2bJMXNeEaBaTuwbSdwAgwnTrLKWyYhoWb02TZpWEgxr7mQin6Pu7ZJkf7eU4oISRBocRoF73njcBpDLMiu8la/UZZLyoH+Ug6HMxwQ5e2ymRwePLcBw7JR1UykleG81v0xM4B7PO0Xb/e+84WYyW/e8wYE17mAa5tMym7ew5I3Ly6O695hgCtvbULeaKw1TWcCS4DgdPpck8CScPEWxx2IPBNPrVs2LNup+zAywhvtdWMLul4rV8HnFujfdYElTvs9b1R5Myw6366Xxdu7P38Eb/3UgwB8n7lu2YETIDs3BQDOr6uYyiaQUlxlq9+jArSQNbbRBoVmuj9HbJNUeWtyfGWv562RYs3hjDIZRUJSFrFY1BoUbwoPLOFwhpCLXvF26UwWgKu6VY3hVd5Yxhk3WauFG0BGYrFz3mwadkKLtxiue4cBXry1CXmjBWdxeT1vXgJgIaC8tW6bjOObmE0UUj27Xt2cN6Z6i0yb7KPyJjA9dsQ2aTl+2qTQbs+b5fe8FXscDPDVh+dxx6HT9L015vnMDcsO2CbDPW/n12vYNZ4G4G4A9LvnjUSUk//npbIWCPAhqIa7y0YKvZQiIpuUUW0SWEJUxziG93A4/UYUBVw2k8Pji2XUdLNuLEs+JaOsGTi7WsUvfOQQNqo8vITDGQYubtQwnlEwkXWv62sVHY4TD+WpkbtmMxRJDCRmW7aDaa/4Wyy5xWwc173DAC/e2iTVgm0yx0S/NhwVwASWqDG2TcqSP/i66tn1wq9DjEqbZG7rZ9okO+dNDClvjuMWkW3ZJpmCm+xwa2Zvesw+e/+5wL+p8mbaQdukWW+b3O0Vb5ktUN4WiipmC0kc+YPb8Ycvv4bOfglDRgX4xZtb8DULLCnznjcOpymXz+VwfLHs9ss06Hm794lV/PDECo7OFwd0lBwOh2WtamAyk6Ab+isVV3mKQ9aBLIl4ybU78IGfv76t+yUkga5XyDppxkuqXCy6r7/XbSejAv+ttQkpTNjhxHqTnremxZsV6nmLwYc4DAkeMSzbD16pK97Yr+uVt37aJtm0STnU82bZTufFm2GhWHN3tXtVvG3UgrvkBa+f0LCcQMHG9rw5joMLjPLW77TJimaiqJrYOZaGJArYPeE+70WvGZtFNYPFW1J2lbdmxSUdFRDDjQwOZyu4Yi6P8+s1LJW1uo2yXFJGSTWx6FmSitxCyeEMBZrhBgwRV8lSyd3wbJRIPmz8/Wtvws/euKet+7i2Sa9489YlxDZ5cUNFNiHRTXVOe/DirU2ibZPBnrdA8dZgEZr0et4cxwkMZY4biuQXROR1hHv3hEDaJPl7a2yTIu15Y+a8sWmTbdomdRpYYtOFkdZkUHU7FFUTE0yqEzvTifWNs2MDSpqJqm5hx5h7Qux38UZ8+zvHUgCAHQW3eCPN2CwksISEm5CevEoz26RuIimLkPs5+4/DiTEHZ3MAXOdAXc9bSoZpOzi76g4BLta4bZLDGQZImBv5zC6XPeVtG29UKhJTvHnrFlK8XdioYbKFeXGcaPgKqU3SUbZJk8x5qw8sadS74/eKObG2TZLCy7Bs+jqiTkbh+W5yoHjr/86LGBFYQtIm25Htac+bzihvRm+Ut5Jq4JpdY/TfCp3pZAV6ythCjhwDGaaZ6rNtkihspHgjf1+MLN4sJOWQ8rbJ8ZU1s2HID4fDcZU3Qvj6QtJ/Ty5VANSr+RzOVlNUjaZ9zqNCTSfKm2eb9FoNtvNMUzZtkhRvZMC34wCT2dbDTzhBePHWJqmE+yuLCiwh/V/E7paQxIaWPHbYak23IInClhQxvYa8ZsNqriCSwon8zfbBbZVt0h/SHVLemOffTMFnbZMltbe2yWLNoElUADvkMjgqgP2a9N2R91xG6XfxRpQ3V3EbzyhIyiIWivXFm2bYwbRJxbWMVDaZ85aJQfoWhzMo9k9mcOUOt4CTQicskv57atkt3nodqsThbMZ/PHAe//yjJ+i/r/v9r+E5f/rtQR3O0FDzrodkNABR3uK4ad8qbnuQu94iDqWpnF+wTWW58tYpvHhrE1KYNOt5S8oiZFFoughlp88TOZ21F8YF8ppN2246r05g5q0BoZ63LQosIf15tu3AcRw4jlvUsbbNzSycpHCq6lZPbZO27aCkmYF5KiS9VLdsegJ0n88v3ojyRnbc0wnXNuk4wXECveLiulukzXk2TUEQvATJ4O/Ash3olmubTDPKWybR3NZZ0a1tvRPJ4XSLKAr49Jufjjc+8wBuv2ZH4HtEtZ73NlO48sbZaj5x9xl8/IdPBG4jhcooo4ZskzSwZDsXb5JInWnEoZRl1MeJDC/eOoWvktokOm3SXSiTIkQQBORTctO484TsDVv1irc4zngDgrbJZiMPwrZJNm2yrz1vIjPnTfCVN5K8Hw4s2ayQJEWUali0kAunP3ZCRTfhOG4RtmciDdWwkZDc36Nh2Zsrb2n3vZZSJNiOW+D14z01X6xhOpdEUvYfW5GEuvEF5HeSUiRqU00pErJJmQawRCmuFW6b5HA2JZ9S8Hs/dXXd7eEekmKN29U4W8tKRcc6H1FRR80bsUM29ZdJYMk23qxUZAGqEbRNJmUJ+ZS74TvFe946hitvbaJIIhRJiLRNKrJfkORTStPhi8QiqZu254WO538F6V0zLKep8sbaF4FQYEk/h3TT5wckifS82bSgkEQ3hZLUkpsdC9lFKmsmPRn1wjZZZIqwb7/9Nhx6x/MD7xGzQfFGbFFEectEpKH2kgvrKu1zI7BjLwjk+VPsnDdZiuwZZanoVmzStzicYeOaXQWwBg5umxweDMvGb3zyv/DYfGnQh9JXVsoa1qs6bNvpycbmdqEWSptcHhXljQaWkEA7ka5XuPLWOfGsGAZMSpECNrHwnDfAta80V978MAqyIxNHqG3ScvxRAUr9644aEUDop21SiBgVYNmA7dkKRUEIDOputeeNpSfFm2dvKqQUyJKbtsj2RbK2yeieN/d3HpWG2kvOrlbpTDkCO4iTsO69nlxKYXreRLqh0Shx0lXe4vlZ4HAGTVKWcGDa75vdqBo4trC9i4W4cHqliv988AJe89FDgz6UvmFYNtaqBmzH3Tjgtl0f4rAi1+hlb5zHdm4TCASWGEHlDeA9b93Ai7cOSCtSsOfNrC/ert87hmt3Fxo+Bkk41JietzhCRwXYNt3ljVIcyW5wVFvf1vS8CbSAZJU38n1SKG3WKhYuUrIJic4v6YZw7xrgv5/IkG7aJ8kUciW1vucNQF0PWi+o6RaeWKngSTvygdsTUr3ydm7NjSrfM5FGSmaUN+9C1ej4Kpq5rS9mHE6/eRKTRnnPE6v4iQ98FyeWym09hmpYfQ0+GkXImmHZSxncjqxV/Ne2VjWwXt2+r7UdiAqZUkRIooCkLFK3zfYPLAnZJhWRtkZM8uKtY/gqqQPSCQnLZR1nVqrYN5Wp63kDgPf8t+uaPkZCDgaWxL3nTTdtrJR1TGSUyBldUSmT9DHkTeSuLqBz3kTf4un2vPm2ScAtpkvwFblGhIuUvZMZLJW6a8a+88g8/vxrjwHwe9fIMQF+z1s2KUGv2oFjKKomUoqv0kX1ZPaKxxdLsB3gqp2h4o0ZxEk4t+aOFNg7mcGqd0FPKiKde9goOrqimQ0H23M4nM35vZ+6GrppQxCAux5dBNB+cMlt7/82FksqTr7npf04xJGkxAxML6lGYKNuO/CeLz+Kz/74HP33WlWnm6SjjmoG8wAyCQmaaUMO9dxvN6Jsk0lZpOnYE7x465jt+67pI2lFwl2PLuCn//b7cByHsU22XoT4YRTunLe4+p5lyS+IlstaIAaWZXC2Sf/5Ra+3zbYd2HbwuMgxbHatYWesAW5x0q1t8s3/cj8eX3R3xhspb6blUBuuYdn4+2+fwOFz63WLgEY9b49eLOJpf3JXV6lfRy+69qsrdwQVZXcQZ/D3cna1ClkUMJdPUttkShbpayhHjAtwHMdNm+S2SQ6nY3aOpfGPr38q9k5m6G1VzT8fnF+v4XPMIjuK+aK66bmQ0x7sOe/+02sDPJLeY1o2PnXf2YCquMaDSyg0zC1BijfZ+3t7X+sUSYRhklEB3DbZS3jx1gFE3VivGihrJgzL3eWMKkwaEVDevOGNcYTE75uWq7w1+jCykf1h2vm9tUvdiAJBgGk7sELKG/n/2Ex5CytMeycyXY8KYIv+AjPgPcEob7qnvAHA0YtFvO/Oo/i/P/FjFGtm4D5kZy9sS3x8sYyFoobTK9WOj/PR+SLSioR9zKIQaGSbrGHneAqyJFLbZFLxT9oVrf53ppmunXU7p29xOFvFGDN2pMQEl7zoL76Dt37qwcj+3TClEQ88OXJ+A+//6tG2badRsL9LMkR9u3DPE6tYCxVqa1UDa4xtsl/ja+IA6UFPMcqb+/f2vtaxtklSwLqBJe7r5spb5/DirQPY3ZLlsg7dsqFIYltz2tjAkqoeX9sk24e1XNEw3UB5E4TGtsl+zrerG1EgCrBsx+95CxVvm11fwguesbQCw3K6soewPWTNet5SigRBAD7/wAUA7g5WMaS8pRoElpDiqpFdsRWOLZRwxY58ICkUcBM6w72A59aq2DPuFnlJkjbJeN3LWv2ikAzv5qMCOJzuYc9lrGWPbOy0kkjbzWbPduBjPziFv/3WCbzmI3d3XXywyhuZw7dd+Maji3X97OtVHRtMQdeLYK+4Qj5r6XDxts1dJgoz542cg7JJGTftn8Stl04GNp457cGLtw5gw0WWyxoM02nb+scO6VZjHFhCbZNEeWswtyNcRG0VtOfNe1rZK978tEn39laVt3CRklT8/8dOYdMbAzPnZL8wNi33PSYzhZNquIPC88wJkBRv4YUZUQcrEXbFVtmoGZiO2CmLUt7OrtWwd9J9XWNeH18+qSDnHWtZrT8OosbxnjcOp3uWGIs0CZM6wxRjrSymR714I7+v+aKKixvdFVxk8bpzLIUL67Wuj22YOLtaxWUzOfpvSRSwVtWxXvOVN5I2OIrUdPe1k3UecVpt91EKiizQNVNJNZBWJCiSiBdfuwP/+qan93XjfrvDi7cOYBfwK2UNhmW31e8G+AvzuKdNkuKtqlvYqBmYyrbf89ZPJrMJFFIytXeKohAMLKnredvENmkGv++nhnZunWz0lGyBr1s2ZEmgvWX7JjO4sF7DakVDgbFHkd9v+HWQi0Q5wq7YKpph02I1cJxycEi3alhYKmnYM+Eqbwdn8/j4G56K2540Q1W1ElNE/vD4Mm79k29gqewujrIxtRBzOMPErz33Mjz/ylkAfuHwgxPL9PvNlDeypnpiZXvZ+9rl9GoVl864oxceuVDs6rHKmglFErB/KoP5LgvBYWOlomM271/7x9MKVitGwErZr/E1cSA8A/e/PWUPAAQK3u1I0hsj5DgOSqGNZk538OKtA1aYptylsu4Vb50rb2R4YxxRvKJoseRejBorb0EFbKv4+afuxTfedhstauQGtskb900AaCWwxC9S3Mhf9/+tG0sIOZY3PefSwO2JUNok+x57y/MPwnaAs6u1gPWAFKN26HC0HtgmNdOmr5dFkYJpk2QI7cFZ/8J025NmIUsikrI75J5V3o4tlDBfVHFm1d3l5sobh9M9eycz+Njrn4psQqLF28MXNuj3G52zWHvgE8ujW7xVdRNLJQ23X7MDggA8crHL4k01kUvK2DWW7lrFGzZWKzomswn80c9ci7c87yAmsok622QrNt3tSrjn7ZU378Whd7wAf/7K6wd5WH1HkUQ4jrvGKWu8eOsl/DfZAWxi38PnN/CtxxYxV0i19RhkYV5STTgOYtvzJooCJFGgO4nTjYo3r+7YauVNkUTMMDuCkijCcvy0SVLsvPtlVyMpi/jI907Snz25VMZYWgkkaLJFSiEl+8pbF5YQy3Fw/Z4x/M+fvCpwuyQKEIXgnLe/e81TcGA6G+ifKDA9b6Q4tkLKGzm+qJTHVtFMi75elrBt8vB5d4H45N1jdT8rCAJySTlwHKp337UKmRPIT0scTq/IpxTaY3pswQ/eaHTO0kybugHObzN7XzuQzaSrdhZwyVQW//ngBbzqlr2Yzbd3rSeQZOAdYyksFFVYtrPl18NuMCwb59dquIQZAk9YLrv97q+9dT8A4O5TK1ip6AFH0igrb+GeNwDYMdbZ+yhOKHQD2qnrz+d0B1feOmDFm1uVkEX8671nUayZeN8rms91C0OKN5LGFGermCwKmC+6Be1mowK2uuctjCQCllWfNgm4x8Yqb7/8f+7DX33j8cD9dcumBcxN+yeojbAb22SziziZoWZaDhRJxE8+eSeu2lnAfibxcRfTM0ceJ9xcr1vu8VW7sU2admTx5gaW+M935NwGJjIK9kyk634WAHIpOaC8kQsb/Sxs8yZuDmcryadkb5PQweMLJez0Fo1qg3MW2xc7ygtu0u+3fzKDa3eP4fHFMt748Xs7fryy5ipvO8dSMG0HK12MbRkEn7n/HH7iA98NqGmAu7lYUs3AwOUn7cjjyPkNPHKhiImMu2Af5feSavhJi6ME6zDjtsneMlrvpB7xd695Cp5+6RSNTH/uFTO4eldhk3sFIcUbUfHGMvHdkVAkEQteelbjUQHDUbzJouiOCvCqNPZwRCHYK1bSzEBvFuDuIO0eT+OOX7oFf/mqG3timzQth/bkhVEkERrT80aYySfxjMum8H89fT9efcs+5jW4PxNOAe+J8mbYNDmSxVXe/Avz4fMbePKe8YbNyLmkEvi9qt6xkWHe2W0en8zhbCWkeFup6FirGrjWU8QbKW/smBF1hEMmSFjJ/qkM3vGSK5FWpMhetV/7l/vxh198ZNPHK6kmcikZO8fcTa24WSdPLJahW3adGkvO22zLxAuumkNVt7BWNfDyG3YDGHHbZGjO26ig0NA121Oe+bW9V/DirQNuv2YHPvmmW6na8rRLJ9t+DLIjsVRyT3yFGMvJiiTQE/hEJrp484dlb9VRRSOJAmzHocoUq3gJggDH8VUr264fAWCYbu/Zsy+fQTYp9ySwxLIdNKjdkPSUt4pmBkZUCIKAT/zKrfjfL782kFBJHidsmyQhO532vDmO09g2KftDunXTxrGFEp68u/FmRj65mfLGT/AcTq/IpxSUVAPHFtxe1Ou84q2R8kYUEkEAtBFecC8UVaQUEeOZBHaNp/GKm3ZH9kT/+MwaHjq/Uf+NEGXNRD4pU7tc3Iq3Cxtu0bZQCh73SsVz3TAbt0+/dAqZhIS0IuH2a3YAGPHiLcI2OQokvA1nw7K9939817nDBi/euuDsqnsye9qBqbbvq0iCZzd0H4NNDIwbMhOk0WhuyaDSJsNIYmhItxC0TQJ+aInlODDDxZtlQ5H9+3TS87Ze1fHjM2v035bTWHlLSCJUw8ZyWW+p14K8hrBtkhxf1HDsVnATOqN7MxXJT5vcqBmwbKdpD2guFex5I4XvumfHyYzY7iSH009ynvJ2YtHtd2tVeZvMJEZ6wa2aVmCIckqW6n4flu1gqaRhraKH715HWXOVt3HPZVOsdT4A/R2fO4zr/+BrHd+/Ey6su0XbYmhGHQlwY1smUoqE1z3jErzhmZdgIuu+3lFWccOBJaMCHXfEbZM9hxdvXfCzN7p2gCuZIcutIggCJrIJ6quPtfImEkskGs67IzXboOd6uEO67bq0ScA/RmKdtGwHllWvYLGpj8RG2I5t8o4fncarPnyIFlhmk543RRaxWHKb29nglUZI1DYZrbx1apski5bowBLJLe5sh/bLNLM+1gWWGMEhnlHPweFwOqOQklFU3eREQQDtRW3kFiDq/EQ2MeKDlYM9vinFLd7YjbGVigbb8V0DzSCLVzIupRsL+yfvOYuNLoq/TrjoKW/zG8FePeK6mQy1TPzOi6/Eb7/4Sqo21fQR3gjQLQjC6F3byDpgpaKjqls8sKSHjNY7qcf86c9dh4d+/ycCBUA7TGUTdMFaSMd3R4L4mtOK1LA4GxbljQ7p9tYkbA+eGJqRZjMKHUE3Q8VbB7bJkmbS2W0AYNl2YPg2S0ISaY/BdIMwGBb/NQRvJ8fXqW2SLOKiA0vc59Q9awQAOow7CqIEEEhhWFQNJGRx4AU+h7OdILbJ1aqOiUyC9t00Ut5qXHkD4J6XWKUkKYuwHQTcGIteUNda1YC9yZwZd1SAQm3h3RRv7DFuBYZlY7HkvtawbZL07U83mPFKfoeNbLqjAJnlO2rXtivmXGHjvidWATRfF3Dag/8mu0CRxLbnu7Gw/WFjcbZNegVDs2ZcP7DEv+2utz637eHm3SIK3pw32vPmf4+cVx3GNlnX82bZASsN+f9vZ4eaxOrr3tw003IabgAkZBEnlly7UyvKG1UPw8pbl0O6/eItOrAEcIs3orzlmvSt5ZMyjS4HmOKtZiA1YjuTHE6/ySdlaKaNhaKGiYxCF9ONlTf39omsQsd4jCJRypt7u0XP+2S+qWW7UejjDXq+NdOCbtnIp2QokoiUIvakeFur6jQApZ8sFFV6XfzE3Wfw2HwJn/7Vp0MU3X53WRQabkCnuPJGi7dRY99kBtmEhHtOucUbt032Dr5SGiDEZiCLQqw/2ORC1szPTVq6WKXr4GwO+6fqZ8b0E1kSvP4tp+54/J43orwhoufNCRScUkitawWyaCIFle04DZW3PRNpaitsyTbZ4Hi6HdJNgguSEVHHdJi46StvzUJHckkZqmHTPjny+oqqGZlmyeFwOocsmM6sVDGZTdCCpFEPEjlHTGYTsGwnMNtylNDMoPJGYt7Z3xtR3gDfPhhFseb+Tsn/Rdg63imk36zfkH43cq6///Qa7eNareiYyCYaqkr+7210i7eqbo1c0iTgOoGu3FmgxVuBF289gxdvA4Q08hbSSqzldFK8NStAh2VUgERtk1Fz3ty/7YDyFly4GKGeN6lBNH8zSCFF/m7W80ZsB0CryptAjz3wnDSwpA+2SckfxEltk01mtRHrBDkWYqexbGfk5uBwOP1mwtskPLVSwWQ20bry5qlIo9r3phl24Hzkj4Xxf28LTPHG9r3dfXKFjs8B2ERG9xyeCyXudkqzl5ztOAAAIABJREFUgrGXkH43dr4oKd42akZT51BCEiEKox1YUqyZsc416IardxboaCDe89Y7+EppgEx6J/K470aQ+WPNdpaEIel5k4ht0m6WNukHlphRgSVMASPQgq+x8rZYVPF33z5OG901xjZJnqeR8nZwNgfALYxbGeTup00Gb9es7tImW7JNmjZ9/GbKG/ke6XtjL+pRj8/hcDpnz4S74NZNG5PZBGRRaLqYDhdvo6qYqKYVOB8lo5Q3pv9rteJawY8vlvHzHz6Ed/77Q/R7y95IoGlvFlo2KXe8kQb4rQpbVbyRYDXW9kZskJsVb4LgOotGeUh3UTVinWvQDdcwM5C5bbJ38OJtgEx6kcFx7ncDAEVswTY5RHPe2FEBrOJJvnZsv2csquctySpvxKbYpFn9q48s4E/vfAwXvLk+tOfNK6ia9bwR5W0mn2xJnSUPEz5uYnusGVbd91pBa5I2yQ7ibLXnDfAb9tlZUlx543B6y94JvydqIuPa21KK1FB5q+kWRMEP0RrZ4s2wAuejKMVyoajR8xkZF/CBrx8DEHSZLJXdc/903lfeSl0Ub2ScykqPizfHcXDfE6t1o2aOL5axezyN973iOuzz1DdWeRvfZA1DkjpHlWLNGFnV6aXX7aRfN1sXcNqDr5QGCLGzxHnGG+Arb82KN0kQIAiDHxUgSwJsJm2SVQIlRkWzmBh/FsN0grZJMdqmyKJ6O5RVUqwQ26SxufJ2YDoLUWjNMhk4ngajAoDO+t6o8hbV88Yob+UWRgXMeUNqyW4ue1HnyhuH01umc0naq0T6rJOy2NAOWdUtZBMyU6yMpt1NNey6tElyO2G5rOEKb1TQalWHYdn42iPzAILzKonyRs7j+VR3ylvCO0+uVrRNfrI9vnl0ET/3oR/hX+4+E7j9xFIZB2dzuHwuj//1U1cDaF15A9y1wSgrbyV1dG2T+ZSCD732Jjx59xh2jfc/XGdU4MXbACEX0rh/qP2et8ZvJ1EQBt7vRo6DDSxh0ybZUQFWE+WNHdJNrZZN1CxSnBA7ElGadMvr9XIcSA2GdKcUCVfM5elu52ZQ9bBBzxvQmXWyqW3S+30Y3qiATEJqOj7j6p0FyKKAB8+tA0Ag0Y4rbxxObxFFAXu8RZNfvDVWQmqGiXRCop/1UVVMNNNCSmYDS8iIBf/3UdMtTOfcEJjVio6TSxUYntWeLVaWyxoSskhVumxSRlE18IUHL3QUCEPUv17bJsnm23ePLdHbbNvByaUKLpvxLfxAUHnbbAM6nZBGOm2yWBtd2yQAvPjaHfjP33jWyA0p7yddrZQEQXi/IAhHBUE4LAjCvwuCMO7dfokgCDVBEB7w/nyoN4e7vaDFW8w/1CR9sVlgiSAE+8sGBZnzZkWkTQq0580v2sLKW3hIdyOli4UUPhVP8SIqmNZCzxsAfPwNt9DdzlaQRKF+Pp1lU8tCUW1/uCtZwEUVV0poVECzfjf3MSRctbOAB86sBx4b4Mobh9MP9nibP8TtkVKaK2+ZhBTZ4zVKqKHAkiglsmqYyCRkTGYTWK3oODpfBACvx8v/uaWyhpmcb33PJWWcXa3hNz/5X7jzyHzbx0Y243qdNkmO7/RKhd52YaOGmmHhslk3GZr0ttd014JfUs1NlTd3UPzWDhUfFizbQUkbXeWN0x+63eb+OoBrHce5DsAxAO9gvnfCcZwbvD9v7vJ5tiXbRXmTPdVoszlvQ1C7QRLFTdMmHcY2GVbUDMumNkGASZsM1W6PXizilj++C8tljRYnNaq8hdImLbtpkMuOsVTD+UGRr1EQ6od0GxYun3N3Tk8tVyLu1ZxWAkvIqIBWfO037B3HQ+c3YNlOoHjjyhuH03v2eH1vUy0ob26suUxVJ21ElTfVsAKjS3zbJKu82UgnJIylFWzUDBydL0EWBVyzq0Dt8gCwVNJovxsQHFZ82HMgtIplO3QDsNfKG7FyPuFZ2gHgxJJ7vThIlLeEr7wVa25BtlnxRn4/owhRM+PeHsMZLrpaKTmO8zXHcYhx+xCAPd0f0ugwmU0gm5CweyLePmASWLHZnLdBJ00Crk2STZuMnvPmF21m3aiAYM8bcTtGNXgvljRcXFdpFH5FJ3bJ+rTJXv5uBCFiSLdl4+qdBXps7UJsOq0ElrRSvF23ZwxlzcSxhVKg0Exx5Y3D6TmkeCMJks2UNxLUQTZSRrHnzXEcaKaNVNSQbiawRPWGL5P0yMfmSzg4m0MhrYRskzpmcv4GXI7pCX7o/EZbx8YWj6vV/hRvbP/ysfkSgGDyMeBuRm7w4m1TSIEb91RxznDRy3fTGwH8G/PvA4Ig/BeAIoB3OY7zvR4+17YgKUv4+lufi+lca2EUw4oibm6bHJaeN1kUYdp2gyHd7t+Net5I0Rco3oQGASHegsewbaq01XQSWOIpcKR4azKkuxMkUQiMLiALkclsArvGUnh8odT2Y5LX0MqogGyTGW+ES6ZdC87JpaAKGBWIwuFwuuPlN+yGati0iGumvGmmjaQs+sVKTJW3+0+v4ZpdhY76bPyApvoh3eRc6DgOakzxtlHVcXatihv3TsCynbqet+v3jNF/s8rbkfNF2HbjxOEw7P+H3uPCmu2Hfmy+iJv2T+LRi0XMFZKY8tYpRHmrGm0Wb9URLd48u+iopk1y+sOmKyVBEO4SBOFIxJ+XMz/zTgAmgP/Pu+kigH2O49wI4K0APiEIQqH+0QFBEN4kCMJ9giDct7S0FPUj25pd42maBBZ3mve8CQMfEwCQwsYfxM0qXn7PW3TaJOlZSyc2T5s0mDEAJJCDXBjpqIA+KW+iIASGhhuWA8dxi6yDc3kcX4pW3hzHqVMQCU3TJmV/SHepReVtLu8mTj6xEireuPLG4fSc3eNpvPVFV9BzXLKJ8qabNhKy5NsEG4wUGGYWiipe8fc/xO9+9nBH9ycFWjBtMljMGpa7mZdOSMgnZZQ1E2sVA9O5pJuu6DktbNvBakUPJAazfcFlzcSpldat7GzAU3gOabewScRnVl3r5CMXi7hqp798I9d5lVXeMpsUb5kESprZNNhru1KsEdskV944vWPTqsFxnBc6jnNtxJ//AABBEF4P4GUAXuN4Kz/HcTTHcVa8r+8HcALAFQ0e/8OO49zsOM7NMzMzPXpZnK3E8E7IzXreJAEt7yz2E3fOm+0P6WbTJpkB18QtySpqZOeQ7T9rlDZJrJGGZQdmrAH1Q7rNnhdvwaHh5FiSioiDMzkcXyxHXkR/+zOHceAdX458TKIWsv1+BD+wxGopsAQAZgvuQuYM01tBjpHD4fSXpCxBM2yslLW6nquw8qbFMLCEFFj3PrHW2f3N+oAm8jUpnmo0xElCNilho2airJnIp2SkEyI9hu8fX4ZlO9R2CPizLsnG16fvO4e3fOLHKLUQ6kGKwnxSrrP1d0tZM5H1ruNnVmrQTRsnlsqRxVutTeXNcdzI/FGDKG9xzzbgDBfdpk2+GMBvA/hpx3GqzO0zgiBI3teXArgcwMlunoszvFh2/S5lGFEQhiJtUhIFWJazuW0yQnlbJ8Ubc6Hy0yaDz0Ntk5bNKG9kKDUJLLFg264q1tPiLWSb9AdsS7hsNgvVsDFfVOvu9+n7zzV8TM10g1qiCnCqvJlOy8VbSpEwkVHqlDfe88bh9J+UIkI1Lfy/nzmM1//TvYHv6aaFxABsk0fOb+Bj3z/Vk8cyLP8c2wkqc84kJGW/mL3j0Gn89TceB+DOc8smZax4M9fyKdlLm3Qf4x++ewJzhSRecq0/rDjlFUg37h3HgeksPvSdE/ji4Yu459Qq/ZnlsoZ/uzc4b409tlxKpmMJekVVtzCZS2BHIYUzq1UcXyzDsBzaLw0AsiQiIYltF28AsF7rbY9eHGg11IXDaYdut7n/BkAewNdDIwGeA+CwIAgPAPgMgDc7jrPa6EE48YZYNzazTQ56QDfgjQpwWg8sYZU3cuEhcdvufdy/o6L5Ac82GZrzxgaWkPv1tOdNEALHTZ4vIYvU0lgNzdwxN5k1pBl2ZFgJ4I+K0L05b/kWijcAmPMWCCxceeNw+k9SlnBhvYZvHl3EWlUPKPG6ZSMpiXVKEwA8Nl/CUqm3g6EJn7n/HN7zlUd78lhkvEGnqqFKbZNBi7wiCVBNC1988AI+cY9bWKUVCbmkDHIJKKQVWrzVdAs/OL6CV968N9AeQTbyJjIJvOjqOXo7+7t97Ufvxu989iEsl4O/b1KQ5pJy0xE1neAqbzL2TWZwdrWKY15/9JXeIHJCShHbDiwBMJKhJUVPbeTKG6eXdGXCdRznYIPbPwvgs908Nic+mC3YJkUBQ9HzJpI5bxGjAoRAYIn7NVvURClvpJevbqSA6adVEptkVTdhWr5lUzdZ+2bvihYhNCrADxsR6e5xuNH96LwfYuI4Tl2hrZlWw8IqKfk79JppI5NovXgjzysIrl2VK28cTv9JKiItUBwHKGn+rC7NsJFUxMgh3bd/8LuYyiZw/7tf1PNjqmgmDMuBEZql2QnhUKh2oXMtQ+ejlBf0opo23QBLeYElhEJKRiohwXFAC6/ZQirwOLc9aRYvvGoO73zpVSiqBj55zxmUVBMX1mv0Z8i5kRzLd44t4UuHL+Cnrt8FwFPeVntrm6zqrnNi72QGPzi+jHNr7ubaXm9OIIEM3S7WjIBK24jxzAgXb95rzvG0SU4P4e8mTteQ4q3ZjC5REIZiVIAsCjA9qyIQ7MPze94ckOVKUHmLbs4OpzsCbv8X4Da1a4zypjPFoGba9HfX27RJ1O2kA67yRtSzsJ3ogbN+34tpO1RNY4+1UZiIIrs/S6KlW1XP5gp+A38+KaOomlx543C2AFKUkAj3kmrQ4k33ZlkSpYkUQCTMaKXHs8UI5PxR1S2Mpbs7D5DCVN/EUdAI8prDRUlSkaCZdmD2XTohBUKa8imFulBI8RZ2I+SSMj76upvpvx/6/dvxjPd8A+fXXTs7GxxFetz+6IuP4PHFMi0ac0k5YOvvBWXNQiHlKm+fLao4uVTBdC5R93sgyqJatALn8UaMsvJ2fr2GXFIeivUPZ/vAV0qcriHqVEJqPudtGEYFSER58y6O0qZz3tjAEnfREraICIJQb5tke96Y4o218eiWDcuznPYyzMUd0s32vPkx/6R4Cytvp5nes6gEM3dgbSPbpHs7sQK1WojuYHajyQBTrrxxOP2HjPN403MuBeAn4gFEeXO/n2JGCvz/7d13mCRndS/+71tVnacn7c7mrNWu8ioskgChhMgSGPyzCbrY2HAxGF/bGH7YGMzF1+ba1zbG9oXLDwwOXDA2Jj+AweRgEEgyKCGhtLvalVa7sxN2Zrqn8/v7o+qt1FUdpqvjfD/Po0cTenqqt3qq6tQ57zn+UuuoqeBtNYLf0+k6PTvz5jvmJQzNrjBQVNmkota8AU4ZZCsdeLdNpvD4opnpOrXklEqqtXNp6zm+cPdJ+/dUa+Edgtcib3UL3jltjpT44ZF5bJ9K1z0uFTeQL1VxfD6PHZP13/dbr8HbF+5+Ap+88wSec+GWfm8KjRhm3qhj6mLf0MMv2jUhEGFl4Jqp9WDOmjfne+6GJYr748V8Gem4XpeB0oWoL5u0/k0qVekpm/Rk3spVu1tYlJk3fzBpd4o0NHvdhf+OdMEVVJZrNaTgfY2NMm+GJiCEM4S81dEXmydcwVsyBmCVmTeiHnjl1btxxe4p+8bLkqvLocq8AWamSR0bFiIeCO2XszNvnXckdAdXD51axr6ZsbYyH0ENSwBnuLk7OFQNS5TxZMxeQjBrZd5aKZnbPpXCjx8zKyDcg7s//qPjeOkHbqs7R6iAsFyViBvRnD9yxQrScQMHNptr3B5fXMWlOyfrHpeKmUHs8YVV3HCweZdwu2HJOpv19v1H5jCZjuFPf/7ifm8KjRheKVHHWglAdE3AGIDoTdfNskm722TQnLeaUy7pzrwt5MuYco0JsJ9TE3XdJtXFQ7nWJPOmMoARD+l234xVWbaEK3jzL+R3X4yUA9aJqPbhQYQQiOka8tbFV6vrVa491znpq9IbZt6Ium/TeBLXH9xkN1FQLdzVmlz1t54wNHz8R4/h7753pOsX3moOZhQZPvfx7Nl/9R18+d4n2/t5u2zSeyxLxnQUfZk3NSpAySYNu8yw3czbybOrqNWkpxLi4z96DKvlKpaLFRzePWV/fSxh7rsoxwXkSlWMJXQc3JK1X/t2a7C7WyquYyFfwuxyETsDMnN+yZhZ9bG0zjJvS6tlTGfiHa/hJPLjO4o6Vglo/uH36mv24veff36vNimUoZlZMrtRSMioAHU+lK4SyrOrpcCuWv65aoBvSHdZZd6qnrVmRVfDkigzb5rwrtUruoI3u2GJL9pcdV3sBK2jKJarocEbACR0zc68tXqi2jmdxoN//Dx89y032BcIzLwR9U7Wygipi2r3+ljAzLwAwP/4wk/tkrdMg8ZUnbDLJiMYTeCuJJASOHJmpc2fd5qRuJllk97MWytr3loJ3rZPplCuSsyuFD1ZTncAecN5m+yPVTYvynVv+VIF6YSBmK7hku2T9nb5pWIGHjpt/pv6m5mEmUjFurZeclAtFSrsMkldwSsl6tgzzt0IANgykQx9zCU7Jj0tkftFF2bmzS6bDGxY4m39r06Oi/my3TXL85yaqGvZ7F7zpgK21ZL3jm2xUrNLTqNc81Y3563iXJDFQxqWeMomAxb5FyvOOpggMUOzy538zU4aiRsadk6n7fWSzbqWEVF01FpTNRxaZeSDSp9PnjWbabQyx3Et3A1LOuVf86a2vVX2Da+AzFuhXPUGb641b6q6wS6bXG69bHKztQb41FIB8zknQ+We5XbDQSd4U01QgtYor0WxUkW5Ku3XctkuM3jbEZJ5U+c4tT6umSt2T+ELdz+BI2dyzR88IpZWy/bfGFGUGLxRx37nWQfx/d+7EVsnWjuI95NqyR80KkBVddZcc+Dcj11cbRC8hWTeVktVu21/rlTxBG+lrmXe/MGbs34jrGGJO5gLuhhoVDYJmAHbSrG9zJtb3FWmRUS9YWferLJJlXlTGfr/+eKL8WzrptsPHpkD0FoWqV1SSnvN22rEa94AMyBq6+dDMm/JmI6VYsUziiXtyrypC/W1NCxRVR1LqxXM54r2uUadI6YzcRx0zVtTAWKzGZ2tylvH77T1vNecuxG6Juz1b24pV1C7o4WySQD477dciJiu4ea/+W7bZazDaqlQxjhHBFAX8EqJOqZrAtsCSisGkWqqooIXd8xkr3mT0hP8qDUFi/kyJlL1a940Ieo6fqnnX3F1YMyXqp6gyT2kO9I1b/4h3QFr3vzBW8FTNhmUeWtcNhk32l/z5v95gJk3ol6K6RpSMd0pm6x4M2+vuGoX3vnCCwEA331oFkB3Mm/usSlBmbdP3nkCH/vhsZafr9PMm9OwxJ950+rW/iUMzf43UcGwveZtpQhDEy3dlHJ3ZFzIlT3lipfsmMA333y95zyhKhzKEZVNqnNVxprT+YxzZ3Dn228KLItUwelYwsDMWPNRAYBZmfOZX386No8n8YHvPBLJNg+6pdUKM2/UFQzeaF1RpZHqDrMWMirAn3mTUuLsaikw86aJgLJJ6/mXrRPiVCaOUqVmlxYamkCxUnVl3qL7UzTLJp3Pi0ENS+qCN3dQKfEnX7ofL3zv95znKId3mwTMi8C8veat/UBUXdywYQlRb42nDLthiZOld45HWyeS2JCJ47SVRerGuCoVOADBwdub//UuvO0z97b8fAVfWfiTbQZvuVIVuibsrptKJm5g3rVuKxXTIYRAOq5DCHO9GwBP2eRY0rBvDDYynlJZ0DLm8yVP8DaejNnBnQrg1Dkjssyb9e/uDs4nAxp0AbDfC//txv1tlfzv3zSGF126HT85vmivBxxlZuaNwRtFj8EbrSuqPFEFV56ySetDKaWn9X+lZrb7L1elfWfVLajbpLqDrUqBNmTMk6BasD2eiqHkWvMWZTMqTfiGdLvupidCg7eqHdhVajV84DuP4u4TTrtqc81bg8ybriFnBab+C55W2N3t2LCEqKfGkzF7VECxUr/mTQjhaRdfjmiNlVvOE7yFl022OtPM3013Lldqa/bbsbkcdk2n64KuTMLwNHtSQZoQApm4YZfIqcxUoVxruczUm3krYSabsI+l7m6W3/vdG/DpX3+aXUUSVcOSk2fN5jRTmebBxquv2Ytbr9qFV1+zt+3f88zzN0FK4BsPnG77Z4dJoWxW2qignChKvFKidUUFa+VK4yHd7jVs1Zq07wwHnYg1rb7bpDrBr1h3tC/YOg4AuPuEOccnmzQvApy1d9H9KeohDUsShm5fDNQFb5WqvQDefXGmLqqK5WrDrJhZNmll3tawbu3i7RO4dOdk4CgGIuqebNKdeXOy9G5X7HFa1Hfamn52uYi/+fpDnhtMzTJv7p9tRbFSxUw2gfe89BDecfMFAIDTS61neh45ncM5M5m6r7uDKMAJ0gDz3JD1BW/q661IxXTEdIGFfAkL+RI2ZOJ2p0l3NmzrRAqX75pyZd6iCd6+/8gc4rqGy3ZONX3s4T3TeNeLL4axhht1F24bRzZp4F7XLLtRpG6IMPNG3cDgjdYV3c68mRcI3jlv5v+DGpbkfOsBPM8ZUDZZ9pVNXn3OBgDmCRIwT+jFsrPmLfoh3c7n7iHdQgjEDS1gzVvNaT3turP8pLXQv1nmLaZrdsC6ltdy1b4N+Owbnt7ygG8iisZ4ysm8+de8KYd3T9sfdxosfO3+U/jLrz6I4wt53H9yCe/64k/t4BEwmzyFOb6w2tLvKJRrSMY0vPiyHTh38xgA51jWTLUmceRMDufMjNV9z7/eL+Uam/CGG/fjZU/ZBcAb/LYavAkhMJ6M4cT8KmrSLLVPW+eboOdQmbeg7sBr8b2HzuCK3VOe19QNQghMpeMjP/NtadV8T3PNG3UDr5RoXXFn3vwxhhbSsMSdeQtarK8FdJu0G5ZYFyWbx5PYv2kMj86abZKdzFt9+WandOEtLypVajA0Yf+OhK4FjAqo2hcI7jKcD3/vCD562zGUqo27TbpLJTmQlGh4ZJMx+0I6LPN2yY4J++Nyh5k31cmxUK7hi3efxN9+94hdsgc0zrydWMi39DsKrkoBdwv+VpxYyKNUrWFfQObNH0S5M2yvvHo3rj0wA8A8J6hS+VbGBCgTqZjdSn86E7cDqaDzTizCssm5lSJ+enIJ11hjf7ptPGXYcwNHlZN5Y9kkRY9XWbSuuNe8+QMmz5w31/VJpSaRs0oCg+6A6kJ4SoAAp/RQBX0JQ8Ph3U45SjYZQ7HsXvMW7agA/5Bu98VYUOat6FqbUarW7H+nf/rhY3j7Z++1XkPjOW/u5yei4TCRMrDo6zbp/1tPxnT89k3nIpswOs68qQz9arlqB1TubpD+4M19bD0+30bwZgVWdgv+QmvBgrrBFph5c1VeCOG01Q9y2S7zeN/OaIXxVAxH55zgLenq6ugXZcOS24/OAwCu3reh4+dqxUQqZo+nGFXqhggzb9QNvMqidUWVSZYqNU+nScBpWFJfNllzyiYT9Sdr/1w19fyAs2YsGdPxnIu22N+vX/PWvSHdpUrNE1AlfMFbtSZRqtbsTmmVkMYszLwRjZ6NYwks5ssoV2ueEmu/377pAG4+tK3jMj3VTKRQrtqljKobZDZhYLXsvahfdTUaOdFi2aT7hpVac6TK2Jp5ZHYFALCvSdnk255/Pt7y3IOhz3PYWifoX1/cyHgqZgevU+m4HRxmAoLEKBuW3HF0AQlDw0Xbxzt+rlaMu7K9o0oFp1zzRt3AqyxaVxpl3oSrYYl3zluzhiX13SbVCXvZDt403HBwE64/aJbVjCdjnjlv0Q7pBtyVTeaMNufkHzc0zwWF6sKWda158we2QONOkHGjfv4QEQ2+jdacrrmVkmcmZJC4LjruNqmOPavlqt1ERAVvM+MJfOmeJ/Gerz5oPz7n6j7ZavDmzrwlYxoMTbSceZvPlRDTBaYCxsK4b949ff9GXOFaC+inKi1+9uRyS78XcLKEALBpPGGXZQaVTUbZsOSOYws4tGOyYXVFlNwdTkeVk3lj2SRFj8EbrSv2mrdqzdNpEgjPvFWqroYlQWWTAd0m1d1pfxnS37/qKbjvD5+DTEJHoVy175pGuubNtwavPvOmezJvKnhTgWm5JgPXnTSb8xb0MRENtpmsGbydWSkGjgpwM3St4zI9VTZZKFVxatnKvFkZuI0Zc1v++usP2Y9XJesAPDPWGlENSwCrEUgqhuUWg4WVYgVjieDZbO7jfzLWONC5aLu5TvC5roqLZiasC/1N2QQ2ZZMN17zZDUs6XINYKFdx3xNnPR1Fu20iHVtHa96YeaPo8ZYArSu6q2zSf2521rzVNyzJBQwwtZ8zaEi3r1RG3UEVQiCTMJA0dHN+nBU4RTqkW9SPCvCveXM3LClY26oW1pcrNU+pksKySaLRozJvsyvF0DVviqELlDss01PHvLOrZSzmzQvc4/N5jCcNpAPK0tWNs2yyeZOL5UIZH/j2o7j/ySXsdTUcGU8aLZdNrhQqgcd5wFt5kWwykzIZ03HvHz7H09SkGXWhf7EV+DXKvMUiyrwdOZNDuSpx4bbelEwC5v4olGt1VSGjZDFfRsLQmgb5RGvB4I3WFcOdeQtpWFKrwZt584wKCFjzptWvefOvC/GfwNUd1ZWiGlnQ9ksJpfkaqPgzb3HDbOtfKFdxfD5vrwNUZZOqRPS8LVk8vrBql342Ct7cDUtYNkk0PGas4O3McjF0VIAS0zrPvKns3jFX85GFfBl7NqQ9c9yklPjobcfwiTtOAAC2T6YaNiwpVqr4hf/vB3jAKlN0H6+ybZTpLVuZtyDuIKqVoKOdZiWAc37ab403SNkNSxqseetwf6iAeLqHMzZVE4/lQgWJsdEMbk4s5LF9MtXvzaARxVvktK6oYdilStBJgUDqAAAgAElEQVSaN/P/YXPekjEtcCipP/NWq8m6ReT+2TkJ66SsgsIoM2/mkG7nc3/mTTUseeun78Gz3vMdu+Nb1l7Yb57MX37lLrzleefVbXMQZt6IhtPGrHnRPrtSdBqWhPwNG7p5bPF3122HChCPWV0VlalMHA+dWrE/L1cl/uBz9+Eea5jz9skUcqVqXVWD8ok7TtiBG+AtaxxPGZ5Zco2sFCqBDZsA7827Zpm3tVBdN3dPm1nDVkYFdJoJPduHrojjvnPNKDo+v4od0+l+bwaNKF5l0bqirkmKgd0mG895C7uLajYscWW6fHdCdU3UZaPUHVWV5Yp2VAB8owKCG5b86IjZHlrd7c5ar09l2lJxHWnXBVCyUdmkweCNaBil4wYycR1nlkt2OXlY9lz9bXeyzkpl3o6e8WbRptNxnO8q3Sv4ZlFunzKzGIur9evepJR4/zcfxuHdU3jJZdsBwJ7zBrTX3bDRsb7dzFu7Xn/9ObjuwAxuObQVgCt4i4c3LKl2uOZN/btM9DB4U79rlNe9HV/IY+cUM2/UHbzKonVFZd7KAR0VVfKr5pvzpjJvYesgNGHOhlP8wVs6ptctfld3bZ3MW7Rz3loZFaC6R6qTt7pgUZ+nYrpnjlErmTdNRBuIElH3bcwm7IYlcV0LbNYBOMepTtZZqeyeKoFUx4upTBz/8Kqn4L9cvct8XNl7HN1mlaCdzZdx5EwOp11Dt584W8ATZwt40aXbcGBLFgBQqjrBXzZptFw2uVKsYCykyURM1xA3NMR00ZXj3L6ZMfzjr15pV0GkG8x5c5pvDWHmzWrM8sMj8/YNzFGyVDDXc+5k5o26hMEbrSuqw2S5KsPXvEnp6dZYqdWwUqwG3v0Egrs7uiUD1sl1N/PWrGGJbl+kAeZ6E8BpWKIuctJx3VPu2XDNm/VczLoRDZ+NY07w1ujvXJWNdxa8eceobLa6XU5n4pjKxHHJjkkAThdcRQVvC/kyXv/RO/GnX37A/t4DJ5cAAOdvHbeHax+bczJ748lYy2WTy4XwzBtgBlLJHjXZeNr+DXjBxVsDs2KxCPYFYN6sE8KpvOgFVTb5p//2AP7iKz/r2e/tFXVjYucUgzfqDl5p0bri7jbpX2bmjArwrulQmbfQsknfmjd/s5J0j4M33V/G6W9YoluZN+trcytm2aSTeavY2+gtE2rUsETYz01Ew2VmLIHZZSvz1iAwievOnEy3Wk3inZ+/zx5w3Yh7xmQ2YdgZnymrYYY6zviHW6vmD4v5EmaXizibdzJpaq3bgS1Z7N2YgV82aQ6/bmXA+EqxHLrmDTBnvTWqQojSFbun8b5bL7ebSrk5Q7o7LJssVJBNGIG/o1vcwegX7j5Z16152B2fN+cR7pxm2SR1B6+0aF2xZ+MEzHkTrlEBdd0mS5XANtaAahASnnkLahVd37AkuhOn8JVxmnfT3eWPmnWRZv75n7FmJ6ngTc1DSsZ1z7a3UjYZaxDgEdFg2juTwdG5HM6ullrLvPkChtPLRfzD94/imw+cbvq73EHZeCpmZ2GmM+b/VaORQrnquem0ycrQLebLOLta9qyJu//kEnZMpTCejOGcmQze9eKL8Gf/zyWu36OObY2zb+VqDYVyrWHmLRM3Gv4b9UrMXgLQednkRMBA8m5yl2ieWSniynd9DXcdX+zpNnTTiQVm3qi7+n8EIuohVRpZKFfrSvyaNSwJW/Pm7zap7u6q2NDfaRLoQebNVzbpz7y5m5jMr5jBWzKmI6YLLFkXOOm4b81bCw1LOCaAaPhcvW8DylWJ7z8y1zh4C1nzpkoc86X6+ZB+7ptb2aRhl2sHZd7cpXyTVoDxxNlVVGoSq9bvOnomhx8/tojztpjNToQQuPWq3dg64WQ9VIDYbFC3upnWMHhLGF3pNNkudSOy04YlZ1fLPR8krfbxgc1j2DiWwFyuhG+0EPgPi8cXV5GO6/Z7lihqnPNG64q6+ChUagHBm/n/sDlvYyFr3vzdJtWd5XRMR65UDcy8qZP/SqELwVvdmrdq4KgAFXDN51TwpsHQNPsCJxXTvRm7FoZ0RznygIh64/DuKQBmViuo7FCxu036yg/VMS9Xar6urOjKmI2nYnaJ4nTGDN5U5q1YrnrKM8cSBnRN4DFrLVvBamjy8r+9DU8uFfCGG/aH/k71O5oN6lY308YalE1mk4bnNfSLU0XS+Zq3XnaaBMwA+7tvuQEz2QQShoYr/vhrOLNSbP6DQ+LUUgFbxpOhjX+IOsXgjdYVFSRVa7IuSxTWsKRaqyFXrDbMvLmDJXUyTcUN5ErV4DVv8e5l3oQQcN+MdXeWBMwgzN2wZC7nZN4MXThr3uK6Z1ZSo9bY6qIubLgvEQ2uTMIcF5ArVfHmZx8MfZyzziok81ZsHtS4u0iOJ2N2lmsqU595c5dYCiEwmYrhMasZhCqbnMuV8Jpr9uIVV+0K/Z2qTK9Zx8mVFjJvv/OsAy1lGLtN3SjrtGHJ2dUy9m8ai2KT2uLuxLhxLI65lfoREMPqybMFbB5P9nszaITxSovWFXeQ5M+8qZtk0tewpFKVKJSroaUymgbPUGxVFpSx1sglgzJvhlrzZl4ERDukG3YwKaU017y5XqsKsNTrXciXIIR50RTXNftudyrmzHlrNPsJcNa6sWySaDj9/a9ciXf/wiE8ff/G0McYWnDmTQVvx+bz2PN7X2y49s2dTRtPOWWT02lv5m217Azkvsbapsl0DMes4K1YrqFSraFUqWEs0ThzpDJvzda8qUqIRsHbJTsmcfW+DQ2fpxd0TUCIzhuWnO1D5s1vQyYxYpm3IrZMMHij7mHwRuuK0SB482TefHPeKjVpL9b304TwBHvqgiNtlVk2yrzlujQqQJVxqgulREAGTW1ntSYxnY5DCGHfWQfM4M3QzYAuYYTPfgJcDUvYbZJoKF25dxo/f8WOho9RN2fq1rxZx5L/ePgMAOBjPzwW+hxF1wiA8WQMF22bwMHNWTs7pjJvav7Y7z73PHz0NVcBMC/yZ5fNi/xCuYq89VyZkGZSirsJSiPLLZRNDpKYptmVHvlSxV4H2I6lQrmnM96CbMwm7AqQYVerSZxaYuaNums4jlBEEfFk3oyw4A11DT8AIBYSYPkbhKi70ipoC+w2af3u5W4Eb5qwM4EqQIsHZN7c61M2jJl3vdWd9biu2cFqKq6jWel+3BoVwOCNaHSFdZtUQZG6adSoM62/2+Qth7bhlkPb7K+pQEsFb+61ttsmnQviQrlqBytBTaHcUg2Ct9VS1SljtzJvvZx51glDF3bDkt/6558grmt4362Xt/zzxUoVhXJtADJvcZxZHo3M21yuhEpNYst4ot+bQiOMV1q0rriDpHjdmjfz/zUpPZk0tTg9LPPm7zap1oOoC4agId1CCE8ZZpQjdjThlE2qCyX3mjc7eHOtT9k4Zp5o1J1198VQJq43bY0d13XPzxPR6FF/36VK8Jo3JeiGFWCWcXvKJgMyXP7Mm7vsXA3qBsxsn6pcyIQ0k1LCMm//cvtjOP8dX7aboLTSsGSQGJqwM28/e3IZTy4V2vp59W/c78zbTDaB5WKlaWZ0GJyy9gHLJqmbGLzRuuIO3vzrzDxz3lyZNNXVLCww0TRRN9QbcBb3p2PBFwLqAsfQRKRdqdzBZGDmzfo478m8Jaxt1jzbBpiBXKNmJYDzb8PMG9HoioVk3txNSIDw4K1clZ4ZlEFBgz/z5r7J5Q7eqjVpjzVplnlTz7Hq287P/vgJAMBxay6XyryFNacaNIauoVKrQUqJJ5cKLQ0hd1NrAIOC6F7aYDWrGYXSySfPmsEbyyapm3ilReuKO2Dzl02qwK7ma1ii7gaGDdLWhfB1p1TNQszPEyGNTtRFSpQlk4DVbbJB5k29bvf6CHXyVBdnqvMbYK7da5Z5cxqW8JBCNKpC57z5WueHBVOqikEd8oLmi/kzb+4bR9unUp7HzufMUrummTcjOPOm1syp36m+n2xys2pQGJpApSqxkC+jVKl5Zui1opUGLb2gKj/mRqBpyZPMvFEP8EqL1hV3sq1+VID5f7NhibSDKpV5C21YoglvgxMrcFIBVFjQ5868RUl3ZQKdzJtzMaIybzlX8DaT9ZZNbnAFb6m4HhqA+p+TwRvR6Aqb8+YPisJu9qjjkcq4jafqgwZD12BoAksBmbftk/7gzXxMuknDEk0TiBtaXZC5alUfqNJDVdI5LOXfMd1sWHLy7CqA+v3STCtDyXtBrbkehY6Tam7qhgzXvFH38EqL1hV35i1eNyrA27BEncDVCT+0bFKYpZaKWkCuvhQ2+0wt6te6EbxZv1vd6XZfTKnmIkGZNxVIujNvN563CTcc3NTwd6rXqJ6biEZP+Jw3b9DgnnvppioBJlXwFpB5A8zj1WK+PvO2rS54My/2gzr6+iUNDQVfN8ZVK+hUx8lSpYZ4k866g8TQBSq1ml2qV2q3bLI4GGWiKvP26x/7Txw5k+vrtnSqWKlCt24WEHUL3120rjSa86a+Ja2GJSq4c8omQxqWaP6ySfP/TuYt+OdS1h3lqDNvQjjZv8CGJVYWzn2i9695c2feXnfdOXhTg8G95nOq18JDCtGoajbnTQkbHK2OR6q7YViXw2RMD1zzNpYwPD+j1kg1K5sEzAoCf5CpbmCpr/tnYg46QxOo1CROWsFbuRL87+43nyuhWpNOd80+r3nbOpHE0/dvQKFcw7d+Fj4jcBiUKrW6G8NEUeM7jNYVT8OSurJJ15w3ac5104SzGN//ePfPVWv1mTcVvIVl7NS6kMl0PPD7a6ULYWcCgxqWBG3PxjHvNkxn2tsmrnkjGn2hc958QVFYBkgdj647MIMXXLw1dF1QwtACu00CwHlbsvbxan7FDN6aNSxRz1NfNunLvFVrQ5UxiekaKlUn89ZK2WS+VMG1f/ZNfOrOE/a4mH6XTRq6hn/4lSsBNB+kPuiKlVrTZQZEneI7jNYVd5bLf3fMM+etZn5uaJp9Yg8LTPS6bpOwn6fRz6lF8RduG2//hTTgDibtsknXBVDQxYkqW1EnzraDN+uijmWTRKNLZebf9K934SM/OGp/3R8UhQUR6nh0yY5JvO/Wy8OPja7Mm3/93Idf9RT8yUsuAeCsL2ol85Y09Loh1qpsUmUOVdnksNCthiWqSUYrZZOnlopYKVbw6Jmcfbzvd9kkYJ4nUzHdXus4rIrlWtMGX0Sd4juM1pVGZZNqmYOa86ZrZoMTu2FJi0O67Y+t/4Vl7FQJ0YXbJtp+HY00G9IdVC6qFowvF8wTZ7vBW8Ke88ZDCtGocmft3/G5++yP/WWTYeV7QWXcQdw3m/yZt7GEgcm0WTo5ny9BCG9pZZhkXEeh4l+bp7bf/PqwBW+GrqFck86atxa6TZ62Ar2FXAkrxQpiuhiYYGM8ZQx95m3Ysrc0nPp/u4Woh3TRaM2bmvNmBmC6lXlTFyZhgYkmBNxjj6rW3c/tUyngaHgg9OjsCgDgou1RZ97M/9dqMvBiyX2ivvbADF5zzV6krTvXa868GZzzRjTqYlpw+bV/zlto5s16XLO5ke5jVFCgp6oW5nMlpGN6Sw1GkobmybB99iePO9vlblgyRMewmCZQqdbswdCtlE3OWh0d53IlJGIaxhLGwDRoGU/GsFQY8sxbpdr0/U3UKQZvtK5omoAQZoAWM/xr3sz/12pm5k3TBHRN2CVBYRk0XfN2V1PLQd76vPPwzPM34WnnbAz8uSesu6VRZ95UgFqVTvAWlnmbGUvg2gMz9ufqxLmhzeDNblgyJC22iah97r9v91pdf+YtdM1b1Xxcs8xE0nOzqf5CWH1/fqWEdIslf8mYjoW8WWb5r3cex9s+c6/9PTvzNmRZE7PbpJN5M0v+ZcPZobPLZvC2kC9hPGkMRMmkkk0awx+8sWySeoDvMFp3VPljTAvOvKlRAbomYGjCXicR1klRqxvSbV4IpBMGbr5kW+h2/O+XX4brDsy0neVqRo0eqMngzJv74sTfvES9jHa3SdcExpNG20EfEQ0P942faXfwVql6jiXNM29NyiYNd9lkQObNKqVcLlaQaaFZCWDO1VRBpu7LNA3rmreYrmExX0KuVLWP2c2yb6et4G3eKpvsd7MSt/FUbCjLJivVGo5aIw6KFQZv1H18h9G6o4I0f+DiXvNWrZllk3FDc4K3Bt0mpXRmvalzp/8Cwe+WQ9vwj7965VpfRig7CK05ayDcF0PuC7Cw19RuB0whBL74m8/ALz11T5tbS0TDwr3uV607A8zM1ZTrmFEOGRWgGoQ0u7hVAZsQ9Y2lzO87x7NUC81K1HO6RwK4eda8DVHZpKEJHJ83B3TvnE4DqH9tfrO+4K3fYwLcxpOxoWxY8p6vPYjr/+JbOD6fH7obADSc+A6jdcfOvPkOsEKokkqJmjTLJuOGhpydeQtvWALA7vCoMm+NSle6SV17mJm3oCHdruDNl01UnS/Xsu07p9N1zQWIaHS4jwvu40ixUsW2yZR9jAzL/pyx1lvNZBMNf4+62ZQIGZjtzsa1mnlLxnQ8Np/Hhe/4Mu46vuj5niqNLw5Z2aSuaXZAvMsK3sL+7SvVGt7z1QfxvYfOAADOrpaxmC8PYNnk8GXefnRkHgDw+OIq17xRT3R0lBJCvFMI8bgQ4ifWf893fe+tQoiHhRA/E0I8p/NNJYqGugAJaq6hCeGsGxACcd3JvDUaFQA4XSbtzFufgjfNveatXL/mrdHMt3/5tafi+793Yw+2koiGjTuQcmd4CuUatk0m8fU3XYfDu6dCux6eWioiHdebluptnUzazxvEm3lrPXgDgFypip8cX0RMF/jqG6/F9smUfZwsDVnJ23TGyX7umk4BCA/e/viL9+Ovv/6QPVYAAI4v5AewbLJsV7EMC/XeWi1XWTZJPRHFO+w9UspLrf++BABCiAsAvAzAhQCeC+D/CCF4K4IGggqqgspjNKHKJs21YzFdsxffNyqbBGB3nFRBXJ9iN6drZs1cgB/Thb0ODvAGbIbv32AsYWDbZKo3G0pEQ8sbvFWRNHTs3pBBMqaHBhCnlgrYPJ5s2t3wJZftaPj9mK7Zx/FWZrwB3oDv8cVVZJMxnLs5i0RMszNvpUp1qDJv1x3YZH+8Y8rKvAWMaSiUq/jID44i7Qt0lwuDVzZZrsrQoH1QqfdWoVRl2ST1RLfeYS8C8M9SyqKU8giAhwFEv7iHaA10LbwzorAybzVpznlrVGLoPJ/5fyfzVoOuib61X1Zxmsq8+Us4DF2zHxPrV4RJREOt6OowWSjX7NlsMasDYpDTS0VsalIyCQAHt2SbPiZpHZv9AUno42PuMs+aHbQkDd1+LaVq/fFykD3jgNPJWJU/qo6ebg+fXkFNAq+5Zq/5WNe/WavBby+Mp8xtGbaOkyp4WyqUrczb8LyHaDhFEbz9hhDibiHE3wkhpqyvbQdw3PWYE9bX6gghXiuEuEMIccfs7GwEm0PUmNGwbNJc8+ZuWKL4Swydn3G6OwJm2WSzZiXdpLu6TZaqwXeSY3Zrf94hJKLW/e5zz8PGsYRnHECxXLWDo5iuhZdNLpuZt1Z8403X4VOvf1ro99Va5Mt2T4U+xi0VMOwb8DYyGbaGJePJGBKGeTNObXcpIPP20OllAGaTrHf/wiG899bL7e+NDVDmLZs0y0CXhyx4S1nv/cV82Vzz1sLQeKJONP2rFUJ8DcCWgG+9DcD7AfwRAGn9/90AfrWdDZBSfhDABwHg8OHDw1XoTEOpcdmkQM3VsMRdux4W6Dhlk97MW78I1/aEzZyJGxqKlRrnshFRW15//Tl4+PQKbnt0zv5aoVK1sw8xQwssm5RSWmWTzTNvALBvZqylx7308M6WHudvpuQEb/rQjgoAgNvffhMqVYmfHF8AELzm7cFTKzA0gT0bMzh3cxZzVuMYYMAyb1YgeXZ1uJqWqPP94mqZa96oJ5r+1Uopb2rliYQQfwvgC9anjwNwH1F3WF8j6rt2G5YoYSWG9d0m+9esxLM9UoYOnVWvyz/rjoiomURMs9e8VWsS5apE0ioVi+ta4KiApUIFhXKt5cxbM3//qqdgJptoOdjyz4uzyyZjuj1bbBiDt3ErW6XOZ0HB20OnlrF3Y8Z+zIaxBP7f5xzEn3/lZ9gxNThrnMdTw5l5U5lbM/M2fO8hGj4d3XIRQmyVUp60Pn0xgHutjz8P4J+EEH8JYBuAcwH8qJPfRRQVp2wyaM2bWW5YqTmjAuyfC8u81XWb7G/mTbfLONEw8waEN2EhIgqTMDR7DInKWjllkyIwgDhtdTncFFHwdsN5m5o/yCUs85YwNCfzNmSjAtxidtmk82//1k/fjct3TeHBUyu4ePuE5/FvuGE/XvnU3cgOUrdJKxA9O2Sz3tTfwmK+ZHUs5Zo36q5O/2r/TAhxKcyyyaMAfg0ApJT3CSE+AeCnACoA3iClrF9FS9QHKtgKCsbUwO1aTSKma77gLSTzFtBtsr9lk7C2R4YuwLfXvLFhCRG1SZVdA0DeWnumGofE9OCyyVNLZqne5hYalnSD/zg45sq8FSpV1KwM4jCteXNT56pStYbvPDiLTMLAJ+44gRMLqzixkMfPXbqt7mdUsDQodkylkE0Y+PaDs3jRpYFtEgaSyrydtgags2ySuq2j4E1K+coG33sXgHd18vxE3WC0MipASiQ1f9lkq90m+xu8uRuWFENaXzuZN55kiKg9CUNHqVKDlBK5ollyqLodhjUsmV0xM2/NBnR3i8qOKGMJM3BRDUtUA5ZhzbzF7bJJif/6kdvtr99+dB41CezekOnXprUsGdPxgku24vN3PYE/elFloAaIN6Iyt6eXzfc4gzfqNr7DaN2x17wZ9QGW3bAksGyy2Zw3V/DWx26T9pDuBg1LmHkjorVKuLI8K1bwlo6r4E0ErnmbWykBMNdb9YNa16aoNW8Jw2xYooK3Yb3wDlvzprJCezame75Na/GSy3cgX6ri2w/OolCu4n99+QHkS4PdwERloVV2eVjfQzQ8+A6jdadRwxI1560qJXThn/PWuGGJZ1RAH4MiTXPWvIU2LDGctt5ERO1QF6fFSs3OvI25Mm9BZZNzuRJiurA7CvbaCy/dhpvO34RfPGwOAHd3myyWa3a2cFgzb2oNtz/DqAxD5g2AvTbv4dMruOPoAt7/rUc8nU0HkbtbKVBfoksUteE8ShF1oPGoADXnzXycXV7YYOi2O9Nl/r+/DUvUr67JBqMCdLXuj5k3ImqPGshdLNfsNW+ZhLPmrVKTdiWCMr9SwlQ6Hnoc7bbxZAwf+uWn4MBmcwC4u2FJqVqzL8CHdc2buhGnMpxumbiODZl4rzdpTVJxHVsnkjh6JofFVfO1LOYHu4FJoewNmDnnjbqN7zBadwwtPHDRhECtZpZAakIgYZ0QGwVjmj/zJvs8KsA1NNzMvNXfBXSCUh4CiKg9TuatapdNqmBIHVvKNbOk8p2fvw8rxQrmciVMD0AAMWG1o3c3LAFgv45hzbypfTLrmuF2aIeZxdq9IdO3oHkt9mzI4Mhczu46uTDgwVvRt8ZzWG8A0PDgO4zWHZUpC57z5jQscWfeGpUX6nbmDbjr+GLfM2/Cs+at2nDNW9C4BCKiRuw1b66yyXTCWfMGAJWqxAe+/Qj+4ftH8S+3H8d8rogNY4MTvGXtsknztSytDnfwpo7ps1bHw7c89yDed+vl0DWB3RuGY72bsmdjxsy8WUHb2Xx9NnGQFMo1bHSt5WTmjbqN7zBad1TGLWzNW9XVsMRu7NEgyFFPc/eJRbzoff+BO44u9LVhib0GrwZrVED4kG52mySidnnWvFllk2NxZ80bYDbOeGLR7L6XjutW5q0/zUrcrtq3Aa+4ahcO7ZwE4GTeVJZnWLMmMWufnLHKJq/cM40dU2n88lP3DFXbfQDYuzGNhXwZx+fzAIDFAZ/7VqxUsdfVEIZr3qjbhvMoRdQB3SoVDFzzpgHSblgiWiovVJk8dZdwPlfq86gA8/9qzVvQnWR1oo+x2yQRtUldnBY9mTdnzRtg3jiayzklfPMrpYFYdzWRiuF/vvhiuw39VNrcppNnVwEMc+bNPJarYegqw/iOWy7Acy/a0rftWos9VnOVnxxfBNB62eTp5QJuPzrfte0KUyzXsGvaaQgzrO8hGh7DMUSDKEIqiRZUMqhGBSytlpFNGq6yyUaZN/N7qtV0pc9z3uyySSlRDBnSnWDmjYjWyM68lavIFSuIG5odtLnnjanmGfO5EpaLlYEI3vx2TKUAAEfO5AAM74W3+nc/Y615m0gP1gDuduzZaAZCD55aBgAstlg2+dQ/+QaqNYkjf/L8nq3xq9bMteXbrfcRwFEB1H18h9G6ozJvQQGWJgRyxSoW8mVsm0y5ygubNyxxD6bVBqFhSU2iVAnJvLXwuoiIgqg1PWbZZMVuVgI48zPf+42H8dBp8+L7qBUYTQ/Amje/bZPmRbfaxmG98BZCIKYLu2xSZd6G0XZrn6iGpf5uk8uFMv7tnpOerz18etnu+DyX690aOXXeT8edm6Qsm6RuG86jFFEHDE0grmuBd+aEcMpntownncxbC2WTJddso34Ov1bbo4azBq55a+F1EREFURenZsOSqj0mAHBuDH38R4/Zx6Bjc+bapUHMvE2lY0jGNCfzpg/vhbf6t0/F9KEOIDIJA5OuzKEaGaB84e6TeP3H/tMuEQWAz/z4cfvjt33mHrzu/97Z/Q2FMyYg6TrPDusNABoeLJukdUfXRGgZpCYEHl80g7etk0ksWQulGzYsEfWZt342LFHx2Kp1UmnUbZKZNyJqV9zVsGSlWEEm7sq8BZRiH52zMm8D0LDETwiB7ZMpPDI73GWTgPq3r3oCn2G1fTJlZ9z8mTe1znKlWMEm62snF51A7iv3nerJNgJAwRqKrmYfAsP9HqLhwHcYrTu6JuyGHX6acE4UWydSrTUssb7lCd4GIPPWMNtP4IoAABcvSURBVHgzVMdNBm9E1B73nLdcsWI3/wC8x5RXX7MX2ydTOG21r984gGWTgFM6CQz3hbfa9mEumVTc+2S5UEHFVdmisl0qswuY8+32bnSahvRK0dqGZEyDOu0z80bdxncYrTuGawSAn+bKmG0ZT9olNA0blgRl3vrabdL83b/58R8DCL4YsRuWsGySiNrk6TZZqvqCN+eY8gc3X4Btk0n7803jzseDZPuoBG/66ARvap+oUtuzrnEBKmhTNygBc77dOTMZz/pLKWXXt1Nl3pKGjuddvNX8ODa8Jas0HIb3KEW0RtOZeOjaC7UObiodQyquO5m3RkO6tfo1b/3NvHk/D1r7wLJJIlorf7fJsYA1b0o2aQYS6bjuubAeJJ7M2xB34FXnnS0Tgxkkt0MFb2rAuHvW26qdeXOCtzMrRcxkE56bBe5zcrfYa8tjGt79C4fw1Tde67mZQdQNw3uUIlqjNz7rAD76mqsCv7d/0xgAJwPnlE22121yEMomlYYNS4b4QoWI+kN1myxVzTlv6YA1b1PWuisVsG3KDt56N+Vp52zAxrEEzpnJDHXW6jFrqPX1B2f6vCWdU6331diA00vOzMCCL3irVGuYy5UwM5bwZFELpe4Hb8Wyk3lLxnScuznb9d9JxCs3WncyCQMbx4IvJN787AMAnIBM3YVtFOQEdZv0B1C95A8cqwGlI6qsY5jvMhNRf6jjRrFcszJvTvCmDj+brRLJbNL83swAB2+H90zjjrffhK+/6fqhLptUbjy4ud+b0LGDW7LQBHDLoW3QBHDbo3P29/xlk/P5EqQ032MXbZ+wH+cuq+yWQkVl3lgqSb3D3C6Ry+4NGfzfV1+JDVZXNKdssr01b/0cFeDnnj+j3HJoGyZSMUwNYOtuIhpshq5B1wQKlaq15s05xuRL5gXzng1mxkSVTW7KDn8p36DbMp7E2dXyUA/oVs6ZGcN//sGzMJmO49DOSXzrwVm88VnmzVW1zmzVeq/NWg1xZrIJvPzKXdg6kcLvf+aeyIK3pUIZb/rEXXjHzRdg53Ta/vrZfBnv/9bDANikhHqLwRuRzzPOdUpO4i009lCZrmKlWve1fihbGcBbr9qFW6/ajfO31pdxTGfi+LnLtvd604hoRKRjOhbyZVRr0lM2efW+DfiNG/bj1dfsBTAcmbdR8c03X9/vTYjUZNq8uXj9gU34q68/iLmVIjaMJexSRZX1cgdvhq5hOmMGryq469SPHp3HV396Cjcc3IRXXLXL/vq/3XsStz06D4BNSqi3GLwRNdDKmjeVlSsOyJq3y3dN4X+//DI858ItI1ECRESDJ5Mw7HVI7rJJXRN483MO2p+r4G3TOIO3bksFVFmMgkt3TUJK4NEzOWwYS9hlkwUrODuzYg7xVsshVCAVVebtpyeXAAAnFvKer8/lzN8rBG9OUG8xeCNqoJWySRXYuWfO9DN4E0LglkPb+vb7iWj0pRM6ZpfNwciNuuvZwRvLJmmNxq330HLB7DipGpWo4OzUkvk+VMFbygreCh0Gb9WaxEdvO4b/ePgMAOD4wqrn+6eXCsgmDdz1jmfb6+SJeoHBG1EDrXRljOlO22ylnw1LiIi6LRM37OHbmQYZn2zCLGFjZoLWatzqALpcqABw1rwVylVUqjV88s4TOG9L1r6JoDKQnZZNfuW+J/HfP3+f/fnxeW/m7fRyEZuyCQZu1HOsqSJqwFnz1rxs0n2Xb5AalhARRS0d1+21Ro0yb1fum8arnrYHT9kz1atNoxGjsrdLKnhzdZv84j0nceRMDr990wH78amIyiY//L0jns/9ZZNm8MaMMvUegzeiBmJWYNZoSLdqZlJwrXnjnTgiGmWZhIFKTdofhxlPxvDOF17oaWpC1I7xpMq8ecsmC+Uq7jy2gGzCwHMudMYjRLHm7fRSAXceW8CrnrYHl+yYwAsu3oozKyXkSxXnMcsFruWkvmDwRtSAEAJxQ7ODuCAxZt6IaJ1xB2xjDYI3ok4lrHPwsi/zVijXcORMDntnMhCupQqqbLLYQfCmmqBctXcan/+Na/BsKzg8Ya17k1Li9FJxoIfP0+hi8EbUxKZsInSoN+Bk5dzBWz8blhARdZt7nVvQLEmiqAghkE3GsLRqZt5UULZaquLR2Rz2bsx4Hh9F2eRi3gze1LiCHVPmfLfHreBtqVBBsVJj2ST1BW+XETXxmV9/ul1zH0Rl2awKIgAM3ohotLnLIJl5o27LJo26hiWLqyU8cXYVezfu8DzWLpss1bBWC3kzUJyyZsbNWDdw1XgA1WmVZZPUDzziEjXRrEtaUCdKBm9ENMoyCd31MS8lqLvM4M0cCl+umndKHzy1AilRl3nTNYG4rnWUeVuwMm9TVuZNBXHzObNJz2NW50l2UaV+YNkkUYeC4jSOCiCiUaYybzFd2CNViLolm4hhuVDxLE+Yt7Jg+zaO1T0+GdM6mvOmyiYnrDEFYwkDcV3DfK6MY3M5/Ld/+jEm0zGct2V8zb+DaK14xCXqkBCirqEJG5YQ0SgbszJvzLpRL6iyyaCAbM/GdN3XUnG9ozlvC/kyUjHdLsEUQmAqE8N8rogfHplHrlTFx15zFaYz8TX/DqK1YvBGFAE1LkDhqAAiGmUq85bhCADqgWwyhuVC2TOSBwA2jiWQtUYJuKVieocNS8qYSnufdzqTwHyujOPzeWgCOLA5u+bnJ+oEgzeiCBjMvBHROpKxM2/sNEnd58+8qQ6n+3zr3ZRkx8Fbye40qUxbmbfj83lsnUgFrncn6gW+84gi4D+Is2EJEY0yO/PGsknqgfGkgZVSxS6FVI1E/M1KlFRcb7jmbbVURaUa3o1yIV+ym5Qo05kEFvJlPDafx67p+lJNol5h8EYUAX+mjcEbEY0yFbRxTAD1QjYZg5TA7IrZ7XHSKmncOxMSvMXC17xVaxLnv+PL+J1P3BX6+xbzZUymfJm3dAzzuRKOL6xi53RqLS+DKBIM3ogiUJd5Y7dJIhphdtkk17xRD4ynzPfZ7LIveAvLvDUom/za/acAAJ+/6wn7a//ryw/gh4/O2Z8v5Ev271CmMwmcXS1jdrnIzBv1FY+6RBHwr3ljwxIiGmUqaEtzzRv1gGpK4gRvZlYsdM1bSLdJKSU+/N0jAICLt08AAHLFCt7/rUdweqmIq/ZtQK0mcXa1bJdmKtOuMsqdDN6ojxi8EUXAXzbJhiVENMpUwwiWTVIvZJPezNuNBzdBEwJ7QoK3bMLAcrFS9/VvPTiLHx2dBwAsF8oAnIHbD8+uYKlQRrlSQ00iMPOmnL+V892of3jUJYqAv2ySmTciGmVqzRsbllAv2Jk3a83bFbun8PNX7Ah9/GQ6jsV8CVJKCNcyhg9++1HsnE7hmv0z+NI9JwEAx+bM4O2hU8u45J3/jpvO3wQA2DrhXde2YczMxD3zvE0cE0B9xaMuUQQ4KoCI1pOEoeEFF2/FU/dt6Pem0DqgMm9PLK56Pg8zmY6hXJXIl6qeGwxPLhVw6c4pzGQTWCqU8dWfnsK3fnYaAJC3yiy/dr/5+bbJpOc5n7JnGu+/9XLcaAV3RP3C4I0oAv4h3WxYQkSjTAiB9916eb83g9YJFaydWDCDt/FU/WBuNzVgeyFf8gRvK8UKxhI6ptJm98r/+pE7Qp9j+6Q386ZrAs+7eOuatp8oSuw2SRSBmM5RAURERN0w7mpYkonrTQdkT1ht/hfzZc/XVwoVjCWMumYkyZj3+WK6wMaxBIgGEYM3ogj4gzUGb0RERNFIGJp9k3TSF3gFUZk3d/BWrUmsls0yyglfM5JCuYYXXLIVF203G5FsnUhx7ToNLAZvRBFgwxIiIqLuEELYTUualUwCwFTGyrytluyv5Upm90l/5m33hjT++mWX4n2vuBy/9NQ9AOrXuxENEq55I4oARwUQERF1TzZpYD5XwmQLwZt6zIIr87ZScAdvznN88TefYY+8UMO3t/nWuxENEmbeiCJg+DNvbFhCREQUGdW0ZKKF4E2VRZ7NuzJv1ty3TMKwSy+n0jHPrEI1fNvfrIRokHSUeRNC/AuAg9ankwAWpZSXCiH2ALgfwM+s790mpXxdJ7+LaJD5G5Yw80ZERBSdbMIMyFoJ3hKGjnRc92Te1NDusaSBbMKAJoAdU2nPz22bSOLXrt2Hmy/ZFuGWE0Wro+BNSvlS9bEQ4t0Azrq+/YiU8tJOnp9oWKhRAZoAapINS4iIiKI0njIvWSfTzYM3AJhKx7EQkHkbSxjQNIGpdBw7p70ZNiEE3vr88yPaYqLuiGTNmzDH1/8igBujeD6iYaOGdKdiOnKlKoM3IiKiCLXTsAQwg7yzIWveAODtN5+P3RsyEW8lUfdF1bDkGQBOSSkfcn1trxDixwCWALxdSvndiH4X0cCJWZm3VJzBGxERUdTaWfMGmMGbO/O2UvQGby++bEfEW0jUG02DNyHE1wBsCfjW26SUn7M+fjmAj7u+dxLALinlnBDiCgCfFUJcKKVcCnj+1wJ4LQDs2rWr3e0nGggq85aM6QDYsISIiChKKvPWatnkxrEE7ji6gD/47L3Il6r2DDd3gxKiYdT0HSylvKnR94UQBoCXALjC9TNFAEXr4zuFEI8AOADgjoDn/yCADwLA4cOHZTsbTzQo1Jy3fTNjOLtaxo4pdqoiIiKKynibmbdzN43hcz95Al+65yQyCQN7N5rNSTIM3mjIRfEOvgnAA1LKE+oLQogZAPNSyqoQYh+AcwE8GsHvIhpIqrvk/pkxfORXr+zz1hAREY2WdssmD2zOAgDmciUsFytYLlYQ1zXEDU7JouEWRfD2MnhLJgHgWgD/QwhRBlAD8Dop5XwEv4toIKk5b4bOckkiIqKoXbF7Glfvm8a+mbGWHn/elnH741KlhhMLqxhLMutGw6/jd7GU8lUBX/sUgE91+txEw0LNeWOjEiIioujt3zSGf37tU1t+/I6pFNJxHflSFQDwyOkVZBJ6tzaPqGeYOyaKgAraOJybiIio/zRN4FyrdBIAHpldwViitZJLokHG4I0oAqphCTNvREREg+E3btiPNz3rAACgXJUYY+aNRgCDN6IIGMy8ERERDZRnXbAZr7v+HPvzrRPsBE3Dj8EbUQRUwxKNwRsREdHAUJUxAHDLoW193BKiaDB4I4qAaljCzBsREdFguu7ATL83gahj7JlKFAFDU2veeD+EiIhokHzolw6jKiVnvNFIYPBGFAGDmTciIqKBdNMFm/u9CUSR4S0IoghwzhsRERERdRuDN6IIqLJJZt6IiIiIqFsYvBFFgJk3IiIiIuo2Bm9EEbAzbzqDNyIiIiLqDgZvRBEw7Mwb/6SIiIiIqDt4pUkUATUElGveiIiIiKhbGLwRRUCtdeOaNyIiIiLqFgZvRBGIcc4bEREREXUZgzeiCJy3ZRw3X7IVh3ZO9ntTiIiIiGhEGf3eAKJRkEkYeO8rLu/3ZhARERHRCGPmjYiIiIiIaAgweCMiIiIiIhoCDN6IiIiIiIiGAIM3IiIiIiKiIcDgjYiIiIiIaAgweCMiIiIiIhoCDN6IiIiIiIiGAIM3IiIiIiKiIcDgjYiIiIiIaAgweCMiIiIiIhoCDN6IiIiIiIiGAIM3IiIiIiKiIcDgjYiIiIiIaAgweCMiIiIiIhoCDN6IiIiIiIiGAIM3IiIiIiKiIcDgjYiIiIiIaAgweCMiIiIiIhoCQkrZ722wCSFmARzr93b4bARwpt8bQXW4XwYP98lg4n4ZTNwvg4f7ZDBxvwwe7pPu2y2lnAn6xkAFb4NICHGHlPJwv7eDvLhfBg/3yWDifhlM3C+Dh/tkMHG/DB7uk/5i2SQREREREdEQYPBGREREREQ0BBi8NffBfm8ABeJ+GTzcJ4OJ+2Uwcb8MHu6TwcT9Mni4T/qIa96IiIiIiIiGADNvREREREREQ2BdBm9CiJ1CiG8KIX4qhLhPCPFb1tenhRBfFUI8ZP1/yvq6EEL8jRDiYSHE3UKIy13PtUsI8e9CiPut59vTn1c13CLeJ39mPcf91mNEv17XsFvDfjlPCPEDIURRCPFm33M9VwjxM2uf/V4/Xs8oiGqfhD0PrU2UfyvW93UhxI+FEF/o9WsZFREfvyaFEJ8UQjxgnVue2o/XNAoi3i9vtJ7jXiHEx4UQyX68pmG3hn1yq3XtdY8Q4vtCiEOu5+K5vsvWZfAGoALgTVLKCwBcDeANQogLAPwegK9LKc8F8HXrcwB4HoBzrf9eC+D9ruf6CIA/l1KeD+BKAKd78xJGTiT7RAjxNABPB3AJgIsAPAXAdT18HaOm3f0yD+A3AfyF+0mEEDqA98HcbxcAeLn1PNS+SPZJg+ehtYlqvyi/BeD+7m7yyItyn/w1gC9LKc8DcAjcN52I6ryy3fr6YSnlRQB0AC/rzUsYOe3ukyMArpNSXgzgj2CtgeO5vjfWZfAmpTwppfxP6+NlmAfh7QBeBOAfrYf9I4Cfsz5+EYCPSNNtACaFEFutN6Qhpfyq9VwrUsp8L1/LqIhqnwCQAJIA4gASAGIATvXshYyYdveLlPK0lPJ2AGXfU10J4GEp5aNSyhKAf7aeg9oU1T5p8Dy0BhH+rUAIsQPACwB8qAebPrKi2idCiAkA1wL4sPW4kpRysScvYgRF+bcCwACQEkIYANIAnujy5o+kNeyT70spF6yv3wZgh/Uxz/U9sC6DNzdhljleBuCHADZLKU9a33oSwGbr4+0Ajrt+7IT1tQMAFoUQn7bKW/7cuutAHehkn0gpfwDgmwBOWv99RUrJO6QRaHG/hAn7G6IOdLhPwp6HOhTBfvkrAG8BUOvG9q1HHe6TvQBmAfy9da7/kBAi061tXU862S9SysdhZuMeg3m+Pyul/Peubew6sYZ98moA/2Z9zHN9D6zr4E0IMQbgUwB+W0q55P6eNNtwNmvFaQB4BoA3wyzP2wfgVdFv6frR6T4RQuwHcD7Mu0DbAdwohHhGlzZ33Yjgb4UiFtU+afQ81L4IjmE3Azgtpbyze1u5vkR0rr8cwPullJcByMEpH6M1iuBvZQpmVmcvgG0AMkKI/9KlzV0X2t0nQogbYAZvv9uzjaT1G7wJIWIw36Afk1J+2vryKav0Dtb/1fq1xwHsdP34DutrJwD8xEoPVwB8FuYBntYgon3yYgC3WSWsKzDvBnFheQfa3C9hwvYXrUFE+yTseWiNItovTwfwQiHEUZglRzcKIT7apU0eeRHtkxMATkgpVWb6k+C5viMR7ZebAByRUs5KKcsAPg3gad3a5lHX7j4RQlwCs7T7RVLKOevLPNf3wLoM3oQQAmbt+v1Syr90fevzAH7Z+viXAXzO9fVfEqarYabmTwK4HeZaqxnrcTcC+GnXX8AIinCfPAbgOiGEYR2IrgMXlq/ZGvZLmNsBnCuE2CuEiMNcVP75qLd3PYhqnzR4HlqDqPaLlPKtUsodUso9MP9OviGlZDZhDSLcJ08COC6EOGh96ZnguX7NIjyvPAbgaiFE2nrOZ4Ln+zVpd58IIXbBDJZfKaV80PV4nut7YF0O6RZCXAPguwDugbOm4Pdh1vd+AsAuAMcA/KKUct56U78XwHMB5AH8ipTyDuu5ngXg3QAEgDsBvNZapEltiGqfWGsO/w/MxeUSZnew3+npixkha9gvWwDcAWDcevwKgAuklEtCiOfDXMujA/g7KeW7evpiRkRU+wRmR9a655FSfqlHL2WkRPm34nrO6wG8WUp5c69exyiJ+Ph1KcwsQxzAozDPOQugtkW8X/4QwEthdkv8MYDXSCmLvXw9o2AN++RDAH7e+hoAVKSUh63n4rm+y9Zl8EZERERERDRs1mXZJBERERER0bBh8EZERERERDQEGLwRERERERENAQZvREREREREQ4DBGxERERER0RBg8EZERERERDQEGLwRERERERENAQZvREREREREQ+D/B+DZYMMEG625AAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 1080x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ZxVKXCGgpFeQ",
        "outputId": "9ffc26cf-f33b-4595-bfb4-c6db862eaa2f"
      },
      "source": [
        "def mle(x):\n",
        "  start = np.array([0.5, np.mean(x), np.std(x)])       # starting guess\n",
        "\n",
        "  def error_fuc(params):\n",
        "    theta = params[0]\n",
        "    mu = params[1]\n",
        "    sigma = params[2]\n",
        "\n",
        "    muc = x[:-1]*np.exp(-theta) + mu*(1.0-np.exp(-theta))      # conditional mean\n",
        "    sigmac = sigma*np.sqrt((1-np.exp(-2.0*theta))/(2*theta))     # conditional vol\n",
        "\n",
        "    return -np.sum(scipy.stats.norm.logpdf(x[1:], loc=muc, scale=sigmac))\n",
        "\n",
        "  result = scipy.optimize.minimize(error_fuc, start, method='L-BFGS-B',\n",
        "                                     bounds=[(1e-6, None), (None, None), (1e-8, None)],\n",
        "                                     options={'maxiter': 500, 'disp': False})\n",
        "  return result.x\n",
        "\n",
        "theta, mu, sigma  = mle(df_pca_level['PCA_3'])\n",
        "print(theta, mu, sigma)\n",
        "print(f'fly mean is {mu*100} bps')\n",
        "print(f'half-life in week {np.log(2)/theta}')\n",
        "print(f'annual standard deviation is {sigma/np.sqrt(2*theta)*100} bps, weekly {sigma/np.sqrt(2*theta)*100*np.sqrt(1/52)} bps')\n",
        "print(np.mean(df_pca_change)[:3]*100, np.std(df_pca_change)[:3]*100)       # stats\n",
        "print(df_pca_level['PCA_3'].tail(1)*100)      # current pca_3"
      ],
      "execution_count": 24,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "0.04192451154834535 0.006565036501929492 0.11472812649582306\n",
            "fly mean is 0.6565036501929492 bps\n",
            "half-life in week 16.533220184584405\n",
            "annual standard deviation is 39.62058631800509 bps, weekly 5.494386751289013 bps\n",
            "PCA_1   -3.162210e-16\n",
            "PCA_2    6.396516e-16\n",
            "PCA_3   -6.544034e-17\n",
            "dtype: float64 PCA_1    28.040184\n",
            "PCA_2    16.729748\n",
            "PCA_3     9.621329\n",
            "dtype: float64\n",
            "DATE\n",
            "2021-01-03    16.783769\n",
            "Freq: W-SUN, Name: PCA_3, dtype: float64\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "HGzPwJpstbk8"
      },
      "source": [
        "See Chapter Mean-reversion equation (A8) for the MLE expression.\n",
        "\n",
        "The fly mean is 0.657bps, the weekly mean-reversion is 4.19bps, or half-life is 16 weeks. Weekly standard deviation is 5.5 bps. \n",
        "\n",
        "In comparison, the statistics show PCA_3 mean is 0 and std is 9.62bps."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "cxdAcHzKQ5eO"
      },
      "source": [
        "## 5. Butterfly"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "id": "odevkQbv913H",
        "outputId": "45a4a1ff-848b-4591-e6fc-abde04ccbc43"
      },
      "source": [
        "fly5050 = df_weekly_diff['DGS5'] - (df_weekly_diff['DGS2']+df_weekly_diff['DGS10'])/2\n",
        "plt.figure(figsize=(20,6))\n",
        "plt.subplot(131)\n",
        "sns.regplot(x=df_pca_change['PCA_1'], y=fly5050)\n",
        "plt.subplot(132)\n",
        "sns.regplot(x=df_pca_change['PCA_2'], y=fly5050)\n",
        "plt.subplot(133)\n",
        "sns.regplot(x=df_pca_change['PCA_3'], y=fly5050)"
      ],
      "execution_count": 63,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7f797856cd10>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 63
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1440x432 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "7-xp27yfPc9_"
      },
      "source": [
        "This is 50-50 DV01 neutral fly. It is not market value neutral.\n",
        "\n",
        "It has negative exposure to PC1 and positive exposure to PC2 (the linear regression coefficient is not zero)."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "id": "AnCufjrxCYVI",
        "outputId": "80d64c24-8ef9-44bd-ecd6-44e51fc02a26"
      },
      "source": [
        "flymkt = df_weekly_diff['DGS5'] - (0.25*df_weekly_diff['DGS2']+0.75*df_weekly_diff['DGS10'])\n",
        "plt.figure(figsize=(20,6))\n",
        "plt.subplot(131)\n",
        "sns.regplot(x=df_pca_change['PCA_1'], y=flymkt)\n",
        "plt.subplot(132)\n",
        "sns.regplot(x=df_pca_change['PCA_2'], y=flymkt)\n",
        "plt.subplot(133)\n",
        "sns.regplot(x=df_pca_change['PCA_3'], y=flymkt)"
      ],
      "execution_count": 62,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7f79786a1bd0>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 62
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1440x432 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "maCMUcZGXjKo"
      },
      "source": [
        "Assume 2s, 5s, 10s durations are 1.8, 4.5, and 9.0, respectively.\n",
        "\n",
        "* The 50-50 DV01 neutral has DV01 weights 0.5-1.0-0.5, and market value 1.25mm-1mm-250k. It buys more 2s than 10s because of shorter duration. Buying fly pays 0.5mm upfront.\n",
        "\n",
        "* The market neutral has market value 6.25k-1mm-375k; DV01 weights 0.25-1-0.75. In order to have zero upfront payment and zero DV01, it underweights (overweights) 2s (10s)."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UDB5vxfTNtmp",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "af528699-6161-41ce-952f-1218c7860452"
      },
      "source": [
        "W = pd.DataFrame(pca_change.components_.T)\n",
        "W.columns = [f'PCA_{i+1}' for i in range(W.shape[1])]\n",
        "W.index = codes\n",
        "w21 = W.loc['DGS2', 'PCA_1']\n",
        "w22 = W.loc['DGS2', 'PCA_2']\n",
        "w23 = W.loc['DGS2', 'PCA_3']\n",
        "\n",
        "w51 = W.loc['DGS5', 'PCA_1']\n",
        "w52 = W.loc['DGS5', 'PCA_2']\n",
        "w53 = W.loc['DGS5', 'PCA_3']\n",
        "\n",
        "w101 = W.loc['DGS10', 'PCA_1']\n",
        "w102 = W.loc['DGS10', 'PCA_2']\n",
        "w103 = W.loc['DGS10', 'PCA_3']\n",
        "\n",
        "w551 = w51 - (w21+w101)/2.0\n",
        "w552 = w52 - (w22+w102)/2.0\n",
        "print(w551, w552)"
      ],
      "execution_count": 29,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "-0.059514884305378046 0.021767823095657196\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Kr9yiEmJV90v"
      },
      "source": [
        "50-50 duration has non-zero exposures on PC1 and PC2"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cyuETQ9aXE7H",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "58ee03b3-85ae-4a1b-e466-0c7bac5471c6"
      },
      "source": [
        "A = np.array([[w21, w101],[w22,w102]])\n",
        "b_ = np.array([w51, w52])\n",
        "a, b = np.dot(np.linalg.inv(A), b_)\n",
        "a, b"
      ],
      "execution_count": 38,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(0.4859957458180909, 0.6583663710956328)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 38
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PU48_QEHX7yg"
      },
      "source": [
        "To immunize against first and second PCA, we solve DV01 a and b from the following\n",
        "\n",
        "$$\n",
        "w21*a - w51*1 + w101*b = 0 \\\\\n",
        "w22*a - w52*1 + w102*b = 0\n",
        "$$\n",
        "\n",
        "By solving a and b, it gives DV01 0.486-1-0.658, or market value 1.215mm-1mm-329k."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "52mcvABBZu2W",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 406
        },
        "outputId": "cd736759-4a42-4fff-9816-fcd9bc1a0c2f"
      },
      "source": [
        "flypca = df_weekly_diff['DGS5']*1 - (a*df_weekly_diff['DGS2']+b*df_weekly_diff['DGS10'])\n",
        "plt.figure(figsize=(20,6))\n",
        "plt.subplot(131)\n",
        "sns.regplot(x=df_pca_change['PCA_1'], y=flypca, ci=None)\n",
        "plt.subplot(132)\n",
        "sns.regplot(x=df_pca_change['PCA_2'], y=flypca, ci=None)\n",
        "plt.subplot(133)\n",
        "sns.regplot(x=df_pca_change['PCA_3'], y=flypca, ci=None)"
      ],
      "execution_count": 61,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7f79787d6850>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 61
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 1440x432 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1vPe3VtbP_RG"
      },
      "source": [
        "PCA weighted fly has zero exposure to PC1 and PC2 (the line is horizontal)."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "FuH3jM2bLAH-",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 392
        },
        "outputId": "11eacb2f-f7bc-4e40-c53d-7fc85dc46cae"
      },
      "source": [
        "plt.figure(figsize=(20,6))\n",
        "plt.subplot(131)\n",
        "plt.plot(df_pca_change['PCA_1'], flypca, 'o')\n",
        "m1, b1 = np.polyfit(df_pca_change['PCA_1'], flypca, 1)\n",
        "plt.plot(df_pca_change['PCA_1'], m1*df_pca_change['PCA_1']+b1)\n",
        "plt.subplot(132)\n",
        "plt.plot(df_pca_change['PCA_2'], flypca, 'o')\n",
        "m2, b2 = np.polyfit(df_pca_change['PCA_2'], flypca, 1)\n",
        "plt.plot(df_pca_change['PCA_2'], m2*df_pca_change['PCA_2']+b2)\n",
        "plt.subplot(133)\n",
        "plt.plot(df_pca_change['PCA_3'], flypca, 'o')\n",
        "m3, b3 = np.polyfit(df_pca_change['PCA_3'], flypca, 1)\n",
        "plt.plot(df_pca_change['PCA_3'], m3*df_pca_change['PCA_3']+b3)\n",
        "print(f'slope 1: {m1}, 2: {m2}, 3: {m3}')"
      ],
      "execution_count": 66,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "slope 1: 1.1415520546405518e-16, 2: -1.3348731104241916e-16, 3: 0.10950726425130013\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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hTlsRRkSdSSVWmeNysVSGAGBdNqqZn89ZPm+lqmNur4beGT2pju9ERBQN1XGBLJfd9fCRppPWjLFQvlfD6fFoV8JaXSNQW8Wb1nYjqXP6KeBTv9b82ItfG/jLsHjkQtKbS0cpiqq23Qk3aS1gdMLfEPczE1EaqMYqIy73j+y2nLAwGPlnw7aDlp8vjVcwdsfV3i+YiIi6isq4QJbLrApE5UoVM3syyGnZSE+nll3jlK6nftyTeL84CXzqcqA60Xhs3T3AS64N5eW4bY08kVWvg6xqDywvYPOaPhTyOQgAhXyuXr1mASM+UfzuiYj8chur7PKHOf8wBhIRUVTc5pYz5Yp0/BQW5sUYnP058LFFwCde0igc/d4XgOEzoRWOAK48Io/sVgUFSVaRZ/Pp+ET1uyci8sMqVmlZgbPnJ7FoaGdbvJXllUI+h71DV9k+L2MgERGFQZZzZvZkpAc1WI2fwhxvMC9GqFwC/uY3gdLxxmO/ezew8p2RvDyLR+RJ3P17OiVIsXcTEVE4WmNVvlfDc+cm6zfbrfFWNa8wBhIRUVRkOQeA8lgo7PEG82IEzj8HfGk18LP/bDz2uo8A/e+P9DKELjlRJMlWrlyp79+/P+7LoJilbcWOFVmPjdaZbiJVQogDuq6vjPs64sY8Qa1U4m0n5BUiJ8wTzBHUGVRzFscbKVY5B3z1jcCJfY3HXj0ErNoY6svK8gRXHlFqdXLz6eL0cdBpf39EREkha4ZtjsOdkFeIiKg7qOasOHrFcjLGp2oFuPfNwOPfbTz267cCV28ChIjtslg8IoqRrMcGgMRvXyMiSovRsSIEAKu11mnslUdERKQq6l6xaWzLkRhTVWD7u4AjDzUee/nbgWs/FWvRyMDT1ohiNLh6MXJa1vJz5UoVW3Ydi/iKiIg6z5ZdxywLRwJIXa88IiIiN6zGG2H2it2y61hTLyaA4xpHU1PAN28FPnxho3D0srXAHc8C1306EYUjgCuPiGJlVN/Xbzto+fliqYz+kd1c6klE5INshacOzoISEVFnc9PQOojtZnFsk0stXQd2/Rmw73ONxy67Gnjz14GsFt91SbB4RBSzgeUFbNl1TDq44VJPIiLv7LasFbhljYiIuoBKf6SgtptFvU0utfb8BfAvH2t8vOBVwFsfArRZ8V2TA25bI0oAu+1rAJd6EhF5xS1rREREzoLabhb1NrnU2fspYHhOo3D0gj5gYxF45z8kunAEcOURUSKYl5OqnAhERERqZLGTW9aIiIgagtpu5mabXFd59IvAzg82Pp67ELjlX4BcPrZLcovFI6IA+dknbCwn7R/ZzaWeRESKnOKubPk8t6wREVGSRX3cfZDbzVS2yXWNQ98AHnp34+Pei4D3PQLMvii+a/KI29aIAmLsEy6WytDR2Cc8OlZ09Txc6klEpEYl7jKmEhFR2gQ1rnCD+TJgP9xR255mFI56ZgEfPAr86Y9SWTgCuPKISIlK5d9un7CbyjuXehIRqVGJu25jatQzvURERK2CGle4yWkcgwTkv74LbF3b/NgHHgPmXhrP9QSIxSMiB6onDwR5LCWXehIROVONu6oxNaiTZoiIiPwIYlzhJadxDOLDj/8N+Mo1zY/duh+46LJ4ricELB4ROVCt/Ed5LKXKLAJnz4mo08nibr5Xq/ePywqBqq6joBAHg5rpJSIi8iOIcUWQOS2IcUXHjk2ePgD876uaH3vPXuAFL4vnekIUSM8jIcTrhRDHhBCPCyGGLD4/UwixbfrzjwghFk4/vlAIURZCHJz+7/NBXA9RkFQr/1HtE1bZAx3HPmkiO8wTFAaruKtlBZ47N1m/6a7qOgC1OBjkClIicod5gqghiHFFUDktiHFFR45NfvqftZ5G5sLRH/wTMHymIwtHQADFIyFEFsBfAXgDgJcCuFEI8dKWL3sXgNO6rr8YwN0APmb63I90XV82/d97/F4PUdBkFf7WxweWF7B5TR8K+RwEaif5bF7TF3hF3W4Wwc3XEEWFeYLCYhV3Z8/oQWVKt/x6pzioGu+JKFjME0TNghhXBJXTghhXdNTY5OeP14pGn+9vPPb2v68VjS5eGd91RSCIbWuvBPC4rutPAIAQ4hsA3gjgh6aveSOA4en/fwDAZ4UQIoDXJgrd4OrFTfuFAXnlP4p9wiqzCJw9p4RhnqDQtMbdRUM7bb/eLg66ifdEFCjmCaIWfscVQeW0IMYVHTE2KR0HPtnX/NhNDwCXvS6e64lBEMWjAoATpo+fBnCF7Gt0XZ8UQpwB8Pzpzy0SQowB+AWA23Vd/14A10QUmDBPHvCy91dlD3QQ+6Q7dl8yxYF5giIji3/mz1u5ffQw7n3kRH2bGwClPklEFAjmCepqYfQzDWoMYzeuUL2mKHvDBu6/fwp8ahkwabr+G74KvPSN8V1TTOJumP0TAAt0XX9GCLECwKgQYqmu679o/UIhxC0AbgGABQsWRHyZ1O3cVv7NgXROToMQQGm80hRUvZ7qozKLsGrJPNyz73jb965aMk/5+nniECUE8wS5Mrh6MQbvP2S5dU3LCAyuXtx2s7vw+Tns/dGzbV+/ask8xjwfOAlBEVHKE8wRlFRW992DDxzC8I4jOFOujR9WLZmH7QeKjvfmVnF379BV7S/qgmzssWrJPOXxQipX9p59BvjcFcDZU43HBv4aWPaW+K4pZkE0zC4CuMT08cXTj1l+jRCiB8AcAM/oun5e1/VnAEDX9QMAfgTgV61eRNf1L+i6vlLX9ZXz5qkNgIni0NoQrlSu4PR4pa05nNe9vyp7oPccPWX5vTsf+4nSe+iofcmUBMwTFJmB5QVcMMt6bsx4vLVpp1XhCADufeSE5ePkzKk56uhYEf0ju7FoaCf6R3anu2kqBSH0PMEcQW5FFaes7rsrVR2lcmP8sHXfccd787CaUsvGHnuOnlIeL0TVGzYQ584An14ObHlho3D0O/+r1tOoiwtHQDArjx4FcJkQYhFqQf3NAFp/qjsAvB3ADwBcD2C3ruu6EGIegGd1Xa8KIV4I4DIATwRwTUSBU51BtUoAZkZQ9bP312kllOw5To9XMDpWdAzUHbEvmZKEeYIiVRqvSB93itFm5i1s5I7TJARXt1IL5glKlChX4avcX8uyUbFUrt/b28Vdv9dsNfbYsO2g5dfK3k8UvWF9mTgLfGk18NPDjcdeexfwG+vju6aE8V08mt5zfCuAXQCyAL6k6/oRIcSHAezXdX0HgC8C+JoQ4nEAz6KWEADgtwB8WAhRATAF4D26rltP/xFBXsAJe2n87aOHsXXf8XrgtksgKgnAuM6w9v7a9fxQSSCp3pdMiZOWPMEtNp3DLoa5KYJnW3rx8m9End0kRJgDHEqntOQJikccsTeIOOW3H5AqY0wS9eRvx4wXKueAr/0ecPz7jcd+axC46vb4rimhgti2Bl3Xv6Xr+q/quv4iXdc/Ov3YHdOBHrqun9N1/U26rr9Y1/VXGicp6Lq+Xdf1pdPHar5c1/WHg7ge6kyypZi3jx4OZYmm+XXNhSODbFmmSsA0EkhOyzY9LlC7fr9LY+32D6skEKtrS/y+ZEq0pOeJsJZ6UzzsYpibm9obr2jsouHfiDt2R0RzdStZSXqeoHjEFXv9xik3122Vs6zIjhY0xiR2cTcMqR8vVCvA1huAj/5yo3B0xR8Bd5ZYOJIIpHhEnStJPQlkMwD3PnIi1P48W3Ydky4VtUogTgnACKrmvb9ALSG0rmzy+vMeWF5APqdZfk4lgaRqXzJRANjnq7PYxTDVgwMAYNNA40heu7+RJOXKpPBSwEvdbDURhS6s/OwUt/3GKTfXPbC8gLUrCtLiEFAbJ9x0pbzR+8lSOfJiTmrHC1NV4IF3Ah+5CPivXbXHlt8M3HEaeMMIIOx+E90t7tPWKMG87vUNa2mprNIv60nhdwbTeB9uj3xuPRZTdtqa8bUDywvoH9nd9jp+l/APX7fU16kGid+XTBQgroToPLIYJjtQwInsb8HIjezf08zpiOjUnbpDRLEIIz+rjHH8ng7m9rr3HD0lnawGahPMmwZqTaqtxib5Xq1esDJPSM/Swl0rkqrxgq4DD38A+I+/azz20gHg+i8BGeeVX8TiEdnwstc3zOZysn21WSEsC0h+ZjBb34cVAfn2MLeBNIzE6HTjTkQNHbNvnxyp9pVoXb1p15OC/XusyXIh8xMRqQojP6uMcfzGKbfX7XTPb+xUsCpqaVmB585N4vT0YRHmUdHp8QonNHQd+PbtwA8+23jsRa8BbvwG0DMjvutKIRaPSMpLQSPMJpiyGYC1KwrYfqAY6Aym02k8xtLRoIJwWAPXVM0GpBQb6HYGvzOMlB6yCQczLSMwfN3SpscGVy/Ghm0HbWeGzbwU/7spnjA/ESVPEmNQGPlZdYzjJ065vW67CQrz91kVtc6en0SpbH3KKNDlExr/PAL88+bGx5dcAbztm4DGyUEvWDwiKS8FjTC3ftjNAKy89MK2xwGgf2S3pwRod70FD8nUKRm7STBJTOzdKspjXClcXAnRuVpjpl3hSADS3/3A8gLWS44ltuK2+M94QkRxSmoMCiM/R7Ha2O11W40FAKBXy2BGTwYbth3Ell3H6s9hfp5FQzsdrycJ2/AjHcN8/zO11UaGX34Z8M5dwMwLwnm9LsHiEUl5qfSHEYxlgcZ4fMO2g20ByG8C9HtkZuv1O12LXYIxv/98r4bnzk2iMqV7el8ULB433Vm4EqLzWMVfOzqAk2fKWN9yk248l8qqJaC2hcDtrDjjCRHFKckxKOj8HNVqY6frHh0r4q6Hj9S3m+W0DGbPyOLsRO26erUMKlUd45Xa5833/UBj3JBRyE1xb8OPrDi5/8vA369vfJxfALz7X4Hc3OBeo4uxeERSXir9boOxUwVaFmj2P/Vs01a11gDkNwEOrl6MwfsP1Ys0Zm6Dneq1WCWY1vdvJBev74uCxSbLRMnmtAXZinH/3XqTvvHBw0qFIwCYPaPHdUxmPCGiOHVTDErCauPRsSIGHziESrWRV8qVqaavGW/5uPY1VQzvOILzk1P1/OaUm+z6tEYl9OLkY/cBD/5h4+PchcCtjwKzL/L/3FTH4hHZclvpdxOMVSrQskBz7yMn2gKlEUwHlhd8J8CB5YWmmYBWboKdn2tRHfh0YmJPAzZZJko2v7HRyCuzZ/a4KkLZ9Z6QYTwhojh1WwyKe7Xxll3HmgpHbrjNMTri36EQWnHy/zwMbLu58XF2BvCBQ8Dz5vt7XrLE4hH5Ils5FNSKHFlAkVXYS+UKRseKgSTAkqRwZFANdn6uxc1rUPTYZJko2YLYglwqV1zfqGeFcP06jCdEFCfGoGhFOfFbSMCWNdnWOs9jmMf/CbhnTfNj7z8IXLjI2/OREhaPukBYzcn87l1VqUDLbvzt+k4YfSr8JkCnQUe+V1NqyO3nWlQGPkzs8UnCsmcikpM1IHUrIwCLXcxSqtvbzBhPiChOjEHRMMZl3tYc1e77Z2kZ6e4Iq693GieE2cjaGC9a5UVPY5invg98+Q3Nj73vUWDer/q4SlLF4lGHC7M5mWzl0G33HVJ6fpUVObLCy9oVBdyz77jl854slT0nQHPw7MnIvy4jgOfOTdYDt93PdWB5Afufera+1S4rBNauUFudZfX+tazA7Bk9OFOuMLEnQNzLnolIzvi3abcNWYWbwhHgfZaX8YSI4sQYFK7WcZmqnJbBucpU04nSrf2SrORzGoavW2rZU9UY78zJaTg7MVl/LllTbq9jDlkLjqwQ2LymT/35igeAv72q+bF3fw/4lV9zdT3kD4tHHS7M5mR2W8pUClQqK3LsikA7H/uJ5WDAKD65SYCtpx0AgEWPuropHZiy6Ll0232H2k5/Gx0rYvuBYr3iXtV1bD9QxMpLL3S8Ps4CERG51zqL6mEhkGdJaExKRETJYeQkr9uoZ2lZbF7za9iy6xjWbzuotBr25isXYNNAn+W1mMdfVtuyrZpye12AIBsvTum62vP87IfAX/9682Pv+g5wySuVr4GCw+JRhwuiOZlsKaPdlioj6NgVPVQKI3bLKO+8dqlt8UnlJDcjkAvA8/JRM6NAVCyVMfjAIQzvOCINyuYVWnbXalcE87vMNMxlqkREUWekTpUAACAASURBVJLFdL89j9xKQmNSIiKypzpO8HuP7HW1kdnp8QrWbztY/9iucCQA3GRTOLrtvkNKW6tl4xe3CxA893595kfAZ17e/NjbdgAvfLXya1PwWDzqcH4bR9tte3PqJWFuMiqrVhuFESNAb9h2EMM7jkCIWqBsHQCYn8Ou+OS0Xa/182FMSlequm2TVWOF1v6nnsX2A0XXlX2/WxLD3NJIRBSlKGK6qrm9WoyvTkRETtyOE1TukWXFJtWTk4Ny97plANDWlxWAtPeQG24bfbvu/Vo6AXzyZc2P3bgNWPx6t5dKIbDp6kKdYHD1YuS0bNNjbpqTOW1727ymT/lUGeP7WhkBulgqQ0et6GRsH2sNb+bnsJsRsLtu2efjUK5Uce8jJ2yvVcbpPTpR+f7RsSL6R3Zj0dBO9I/sxuhYUem5iYiilJSYDiDSLXJEROSel3FCuVLF+m0HLe+HW8cyRrFpdKwYy6lqrdeyYdtBrN92MJA86fZ0NGO8WMjnIKav0bLX0X//DPjo/ObC0fVfBobPsHCUIFx51OH89sxx2vZmPI/qckyr53N703+yVHacEXC6btVA7vaEHS9kMwBO1+h3S6LT93NlEhGlhUrcm9uroXdGT+jb2M7YrDglIqL4+RknWN0P2xWjVE5ODsr4xCSGdxxpu5aghjJeT3i27UM7/izwuSuB537WeOyNfwUsv9njVVKYWDzqAn5OTlDZ9mZVoBqfmLRsZm11vL3bivz8fM72pLcN2w4iI4RlUca4bpVAbj6hwO5UAr+yDtcq43dLotP3h9lsnYgoSE4xPadlcee1tXi+aOPOUFcHuZ2VJSKiaDndA+d7NdsTOlvvh+2KUXevW+a755EqP6eKOnF9OpqTc78A/nYV8Mzjjcfe8JfAFe8O5vkpFNy2RrZUt70NLC9g79BVeHLkGuwdugp3Xru07fu0rMBz5ybblnTmXfSHEABWLZlne9KbDuvVPObrtnpfxua7Qj6HT65bhoN3Xt3UtNp4fwfvvBpbrr/c81HMrdd04xWXWP6szp6ftN0u5ndLotX3A8DZ85O2y2yjXH5LRKTCKaavXVHrO7FoKNzCkZYRiThpjVuOiYjk7O6hR8eKeO7cpONzFEvleoyVjWXm53NN27aSKIPauMNOTsvi4zdcHkzhaGIc+JtXAyOXNApHr7mjtj2NhaPE48qjlAv7tCyv296svu/s+cm2BtLlShUzezLIaVmlirwOYPuBouOMgMFY1ZMVomkvs3F9dz18pP48c0wrjZwYq7kWDe30tRR07YoCNg30YeWlF9Z/VvleDc+dm1RqNg5435Jo9TMAaj2njKKe1c+Ys+pElDRuDlAIiwCw7pWXxL4yk1uOiYjs2eWM/pHdqCj2rDAmw7WMgJYVTbsSzBO6xrihf2R35CeAOpkCoE/p6NUyGK9MtX1+bq9WX7nry+R54J61wI+/13jsN28DrvpzQLF/LsVP6Cns7Lhy5Up9//79cV9G7KxuiHNaNtglhQFaOLRT+rlPrlvWtC1MCKA0XpFuPzOfwuZEy4imJGD8jID2Xk1uf35+k0A+p+HgnVcrPWchn8Peoas8v5aM7PXyOQ3nJ6dS8/dFNUKIA7qur4z7OuLGPEGGKG/WkxAjo84hlD7ME8wRJOd1Yjif0zB7Zo/thG5UkxleyMZWvnNHdRK4763AsW81HnvlLbUtaiwaJZYsT3DlUYoF3ZMm7FVMst4+WSGkfZkWSQpOrc8ihPyEm9bZA/MKJKuf3/COI8rv2+r4STdaV2IB/hthuyV73jPlCu42FfXC+Jsg6jRhx1FyL8qttknoC8ctx0SUJGnLi14bXJ8pV9omhFsZ7/u2+w5JD8wJg2wMZib7rOfcMVUFHno3cPj+xmPLbgKu+yyQYeectGLxKGHcBNggbxCtlrkbxzoWAgr0sqBlF8xUA3g+p+FcZUq5iGP3MyqVK/X+EE6/C6tlr6uWzMPOx36i3LSu9Xc+J6dZFpXm5NqbjQeRfO2aBvpptk7UbbhdqFlSBgxRnnQDxF+k8XuYAhFRUNzkxShyhspreJ0YdnOf7qdwZDdhLjOl6yh4zIWuc4euA3+/ATjw5cZjL7kWuP4rQJalh7TjbzBB3A48grxBtFrFZMSloAZAsqBlbiDXGtRXLZmH7QeKjgG8NF5bJbN+20Gla8k7HNn8oYcOY0pH0+9i/baDuOvhI7jm134Fe46eakoOrcs5Nw30KW2VmD0j2/Y717KibaudlhE4O+HcB8kLqyTp9ShOom7GEwobklRIG1y9WDk3BCHuIg1jOhElhWpejCJnqL5G68Swap2mVK403adbTcIb1+CHXeHI7gRnlaJY69Y1V7lD14Hv3AF8/9ONx164CnjLfUDPDLXnoMTjmrEEsQuwVvyetmXmNFNqdx2qnK7XCKjm09i2Hyhi7YoCCvkcBGpB0Upm+nHVkwxOj1cwPiE/SeHsRNUyuJ4er+CefcebrnHDtoNYaHGizaol82C3kzebEdCymbbXqVR1XDCrp/6eC/kcLpjV09SEDwjmdwKg6RQI4/VkPTt4gg+RHLcLNbjNZ17ZxSTjcxsiLBwBtdgfJzcxnYgoTKp5MYqc4eY1zKcsy8YWxphEdq9vnoQfvP8Qlt7xj1i/7WBo/Y4EYHmCMwA8e/Y8ADSd+tZ63Tkti5uuXOAtd/zLXwJ35RuFo4tfAXzop8DbRlk46jBceZQgbgcefk/bMlNZ1u93AOR0vbKgvufoqfrKHlmjuaquY+ODh7F2RUFppRIA5W1lTqxWaAG1U+FkkwPGyQWy2fDSeAV3XrvUcdYjykHp7aOHsXXf8cBXpBF1Cm4XaoiikGY3iwwAgw8caiu6R2HnYz/BpoG+yF/XjFuOiSgJVPNi0K04rMYaXl/DasWOlhG4YFYPTo9XlFYmVaZ0VCacxyYzezI4P9l+4pkKHajnnnv2HW/6XLkyhQ9uO4hPrFvWNKbyPYb8weeAXRsbH89bAvzBd4GZv+TpPVDysXiUIF4GHkHdIKosZQxiAGR3vXZB3Rzg8r0azlWqbcHaKDRtXtMX6RaF1mv40EOHca4yZbls1HxiwehYUXqywZycprTf2s3vRJYkVJbxjo4VmwpH5vebhC05SemtQt2N24Uaoiik2c0ij09MxlI4AmoTE6NjxdBiEOMdEaWFal6U5QwdtRMkVeOcrIfr/qee9ZyXWie/5+Q0nJ2YDGwS2iwjBG6+ckFb8UeFsaJoz9FTlp+fApoOBfI1hjzwd8DD7298/LyLgfd8D+i90NvzUWpw21qCBLkNzS3zMnfAeilj2NchC945LdO0nc2uym8kBdXta2E4O1GVNsIrlsr1rRVbdh2Tvg8h2k+Ca6VlhfLvxGpL4MYHD9evw2kZr921xr0lx+69EUWJ24Uags5nVtvTZLGnWCqHclPvRtDb8wyMd0SUJqp50SpnGNzEOVkP1637jmPVknme85J5G9vsme2tJIJSrlRx7yMnPH1vaXwCi4Z22u4ksTqQx5XDDwDDcxqFo1lzgD/5L+CDR1g46hJceZQgQW5D8/r65pUmUZ94sGrJPGx79ERbQB6vuFu+6Xb7WtSMWRC7tKMy8Jk9o0f5d2JXIFJZxmtXIIp7Sw6bFFOScLtQTZD5TLY6Mt+rWcZK2YrOKIVVVGe8I6K0UcmL5pxhVfxQjXOy2KsD9d0JslX4rY8b16O6/S0oXk9iO6uwLc6K0pjv6LeAb9zY+FhkgPWHgTkXe3pNSi8WjxImKQMPu+sIorBkNRjYfqCInozwXc03b18zrjMjOX0gLkFcyRkXswd2BSKVZbx2PbHibg7LJsVEyRRUPpMVTGSRNAmRPqyiup94x+1uRJRkRs5YNLTTMo6rxDm7+9WTpbJlXrIakww+cAjQUT/52Hx6muxEszSY26s1fezYuuJHe4CvDTQ/yfvHgAtfGMn1UvKweES2rFYHmVf0eG2aLB8MBKM1QcgabaeZm8GJXYFIZT+6XU+s7QeKWHnphbENQtikmKizyQYMZZerUqOS07JYtWQe+kd2B16o8RrvojgGm4goCHZxzqkIPrh6sXR1vyxOWo1JrCayjUfSWjjSsgJ3Xru06THZeOwf/2EUA9/8s+YneO8jwP9YAoCTEd2MPY9Iyqq3wtZ9xwM5SjPsVSE6gBdt/BYWTvfHAGrHU7ZW3N2SHccZh4XPVy+ODK5eDC3TfPVaRtSDvdN+dONrjGNJzcqVKoZ3HJEelx22OHuFEVH40lQIFgBevmAOth8o2vYlsurhpMJrvHPqbef1eoiIgiaLc6uWzHPs+TawvICbrlzgqndrJ69UN+7bC/kctlx/eVuBp/W9v0w8gR/Pegs+P2EqHN3yL8DwmabCEXvvdS+uPOoAYVV/ZU3nrBiNoFVfW9arYm6vhnOVqUBWCBkzA0ZQW7uigHM2M9UqfTKSNNew90fP4vbRw/VjOR3/Dlozqelj1f3oGySn2JXKlXoTvqhntOPuFUZE3qnkL9nqyFlaJnE9j3QA+5443TYzbe7X4WcVkNd453SaKVclEVFSyOKcas+3TQN9WHnphW07J7bsOta07aww/byyMYmKJPTYs1PV9XrhzCqeG6u8LhNP4zsz/7T5k+/8NrDgirbvYe+97sbiUcqFedPnthKv+tqjY0U8d26y7XHzckpZwzyvjNMLZEtNkx78Ze595AQ2DfQ5/h1s2XWsbQlupaq7DvR2e8nN/CYRtwXRpPQKIyJ1qvlLNpAAYFlUWruiYBvvw2Z32ibg/8bbS7yz2wbCgQARJY1VnJNNYFqNV+xaV7ROLgsfI4A0jB3s4vlw/yy87p9+r+mxd1Y/hOvW3ISBBdbxn71Guxu3raWcyjHrXsm2Ctht3VJ57S27jtUb0JlNThc3jOMwg94iZjeQSEPwt2K8J6e/A7sjrd2wO0q1ldckwuWwRN3BTf4yH5O8d+iq+sDAasvtpoE+TCWwJ4WxfSCOG2+77W4cCBBRGsjGJU5bm61yjaFcqbo+1TmN2u73zzwNDM/B6/7pDfWH/nDiNvTPeqhWOLKZOPD6e6DOwOJRyoV50ye72bzpygUo2AQIp9e2O0bTXCQIOgglqV9RUIzBiN3JEoB9IdBNUcZqsCbrI+X19xdmQZSIksNL/mrtzQPUctX8fA4nS2Vs2XUMo2PF2G5itaw801R1Hf0ju5EPOGaqsOtt53UgwD5JRBQlrz3fWAg33e8/9/+Av7gYuNvUOHvtF4HhM7jmTe8CUFvhZRfT2Wu0u3HbWsqFedKUU2+F/pHdnl7bbuuTeWml3QlfXiRvHtq/G6+4BKNjRem2O+N3ITt9Qgea+nCobBVrXUp8++hh3LPveNvXrVoyz9N74iw4UXdwm79Uj1OuPRZPxJ89owezZ/ZIc1yxVIaWEdCyomkrcRQ33rLtbionbrZinyQiiprXnm9OLRfyOQ1nypWOHCcYnofn0P/N3wDwbOPB6z4DvPxtANzFdPYa7W5ceZRyYVZ/VY7D9PLaTlufjCJB60wpNWSFwM1XLsCmgT5s2XXMMuEJ1H7Wxu9RlhTNDVO9bBXbc/SUq8edcDksUXdwm0Nkxym3boOuPRbstao6U6445rjKlI7ZM3psT7iMksqJm624QpSI4mC1hdmJXUzOaVkMX7e0YwtHF2Ac353xJzg06xbMMwpHrx+pnZ42XTgC3Md0L78H6gxceZRyfqq/dsUhlQq019c2Pr/hvoOWk8PmIoF5plS20qlb5LSs5Q293TZAoL2hbCu/DVODXinkZRaciNLHbQ5Jw+pDI3/N0jK2cfdMuYKDd14d1WU5ctuEmytEiSgtBpYXsP+pZ7F13/GmIpEAsHZFoX6wTCeNMWbhPL4x4yNYlnmi/tgXet6CW27/a8uvZ0wnVSwedQAvJ6+onM6lUkzwc8pVT0a0nQCmZYS0SBDkNraclkE5ZQ3yypUq1m87iNvuO4Qbr7gEmwb6AMiX4xYkRSEzoyjj5gSLVkFvnUzScli3p74RkTtucojqaY9xWvj8nFKeSstKSlkMDHPLPBFR0PYcPWXZusFYJR90q4y4zEAFX9b+Ev3ZI/XHPjd5HT4j3oLNb/w16fcxppMqFo+6lFNxKIwKtPkmNCOE5elnVV3Hhm0HsWXXsbaBurmo4HcAkbbCkVlV1+s9hjYN9Nmu1JEVhQwze2o7V/0kjTBWCvkpSgaFPT2IksUq1mhZgWpVR1Ii+t4fPev4NWFtLV+1ZB72HD0VWLHbLgZyhSgRJYnTZJ/TwTLG1653uG9Oqiyq+Jz2KazO7q8/9rXq6/DnlXdgbu8MzNQhHV8BjOmkjj2PupRTcSjovjOtPXWsCkcAMKXDtueOscfW7rS3bnHPvuP104Zk/Srm5KxP9TGUyhVsfPAwFj7f+uep0vTaS7+MNGBPD6JksYo1615xCbI2J5wlURDx0apP3T37jnvqWyfjNMnUiXGfiNLHqW+ncbCMldZWGWkbXwhM4ePa5/CjWW+tF462V38Di87dgz+v/D60TAbPnZ9EaboheLFUxvptB7H0jn/Esru+3XRyKWM6qeDKoy7ltNIk6Aq00/YpK+abVKsZVqsTvrqNkSA3r+nD3qGr2j4vFMZU5UoV+544bfm5e/Ydx56jpxxnsJOwUiho3P9NlHw7H/tJ2/ZnoBb7YjpwzZE5VnrdGquSU1X71sk4xcBOjPtElD5Ohe67Hj5ie7CMWXq2r+n4cM9X8Lae79Qf2VVdifdWPoAqGs3BWw+UMJydqAJoXlUqG0sQmbF41KWcikNB953xOuA2nwRmXjq/7d9PeHq+TmQ3QCiNV5SeQ7YSDOje7Vrc/00UPjfFE6tcIKPrtZnTpPVIypoq+n62xqrmVD/FbsZAIkoKu1xhV+geHSvitOReWIf1MfRWzbWTQ8ef9mzDe3t21B/ZW12K36/8KSZgv9vATrlSxfCOI4FMblBnY/GoS6kUh4KYVXQ6Jj4rBKamCxdWXzMnp1kfzyyppHcrWeJUbTCblfSgMvidwU4j7v8mCpfb4onbFaxJKxwBwI1XXFL/fz+nXKrGdj+FHsZAIkoCp1xhV+i2azUg26Jm1Vw7Cd6bHcWfavfVPz449UK8eeLPcQ4zA3n+UrmC0bFifccH+36SFRaPulBrJfnudcssA4HfinNr4GmlZQQumNUjnREAgLMTtX26ZE8HsHBoJwBgbq+GO69dCgAYn5h0/N6clsXaFQVsP1C0HZh123atJJ36RtRpRseKuO2+Q21Fa7viSZpjUFaIplMyAX9bY1W2VgRxcAHAGEiUFp26UsSp0O714BhZfExarnlH9h8xrH21/vHjU/MxMPFhPIfewF/L+Jn6mdygzsbiUZdRrSQHUXG2myXO5zScnZi0LRwBQKWqO66KoWanxyu47f5DyEBthZbREG/lpRfanmRnzGB36s2JFfb0IAqekV9kcV124z4np6VyMkEAeMGcWVh56YVNj/vZFmZV2An6tDXjdRgDiZKvk1eKqPRfA6wL3bL72pyWwZZdx7Bh28G2eKm6sjNsb8r+M7ZoX6h//FN9Ll5/fgQl/FJor2n8TNn3k2RYPOoyqpVk2dettznmsZUswAgAs2f2KA8CWDhyrzqlQ2VzRyGfq/8ejUGC1YoxYwank29OiCgaTtvPZMUTlQMAksg44WbwgUMAGrHS77YwFnaIyNDJK0VUCu2yeGgVZ7WMwOSUXn/O1nvZuJtm/27mB/jsjM/UP/5vPYerzn8cp5D3/dyOE/KiVohkzzuSycR9ARQt1UqyXWVZ9QhgWYCZn8+5qlxn0zpiSDjZIMXuCGYeX09EftnFf6u4NDpWRP/IbseVqklXqeq46+Ej9Y953D0RBaWTV4oMrl6MnJZteky10G4VZy+Y1dN2Sqf5Xtb4nqjHH6/JHMCPZ72lqXD0qnOfRt/5LwZSOAKAj99wubTXE1A7bGLjg4exask8zz9z6mxcedRlVCvJTks2VWYz7GZV7bZHmeW0bAqOy0yPzPTx1U5bGmQzOJ18c0JE0ZDll6wQbcUTp955adNaAAt69VA3bSsmooZOXinSui1tTk6DEMAGyW4IqzhoPoJ+0XSP0FbF6dPZzHF58IFDbYWmoL0q85/4+oy/aHrs1ec/gaf0FwT6OnN7tfr7Wm/TC6pcqWLP0VPYvKaP+YTaBLLySAjxeiHEMSHE40KIIYvPzxRCbJv+/CNCiIWmz22cfvyYEGJ1ENdDcqrVe6uva2UEWRm7WVWr5zfq+0alPysEypUqVx45cPPTyQqBu9ctw96hq+pb1PpHdmPR0E70j+z2tZqMyA7zBBlkeejjN1zedmPqtMWN2aHBKLQVS+X6VjmVVcJuX8NNziByg3nCOz+rc9yIKwYMLC9g79BVuHvdMpyfnMLp8YplnFOJg3b3rOavHVhewJbrL8fcXi2U93RNZh9+POstTYWjq89/DAvPfT3wwhFQmzw2imNO7+lkqVz/mT85ck193EDke+WRECIL4K8AvA7A0wAeFULs0HX9h6YvexeA07quv1gI8WYAHwOwTgjxUgBvBrAUwHwA3xVC/Kqu650xxZhAqqenmL/OboWQU78b2ayq3XW0zjSz55E9Nz+dypReXzHmpX8Rj24mL5gnyMzNKV52qxoLCWlq6kY+F84gBAiv54kxi18slSHQyDnseUdBYp7wJ4rTEZPQ99IpzqnEQbueRlb9XQeWF7BoaKer+207v50Zw1dmbGl67Nrzm3BYf2FAr2CtVK5g8P5a7707r11qu6qXk8IkI3SfA3MhxK8DGNZ1ffX0xxsBQNf1zaav2TX9NT8QQvQA+CmAeQCGzF9r/jq711y5cqW+f/9+9xf71TcCT/yz++8jIorSC38beNs3PX2rEOKArusrA70en5gniIgC9sLfZp7wkSc854gu1j+y27JgX8jnmraFhUlWxBEAnhy5xvHzhtGxou3WLaDWWPuCWT0ojVeQCeDk5z7xBB6eeXvTY++feB92TPX7el6ZrACsdtzlcxoO3nk1RseKuOvhI23bqXNalv33SJonguh5VABwwvTx0wCukH2NruuTQogzAJ4//fi+lu+1/EsVQtwC4BYAWLBgQQCXTUREEWGeICIiO6HnCeYIf5LQ99Kpt1OQvZ8qU3q9sOKncHSJ+Bm+N3ND02MfqrwTW6uv9fycKmStmozTrs2nLLO3UfA69eeamobZuq5/AcAXgNpsgdvvHx0rYsvJD+DkuVs66hcYFJU/8KhmHGSvQ/4JADdduQCbBvoSMYNEFCS/eQKA55n8bmbV1DrImUtzfjIapZbGK8j3atD12o1wRgBTCdzhHOUMbhi/B5WtGio5I+y/ESIVgeSILpaEptyrlszD1n3Hm+KSuX2CU3uF0bEihnccqRdQwvQCPIN/m/kB9Iip+mN/PHErHp56Veiv7WZbd9AHN1D8WzzDLFwF0TC7COAS08cXTz9m+TXTy0znAHhG8Xt9i6KJZJqp/nyiasZn9TpaVkDLsDWqG4V8Dv0vurCpoawOYPuBIkbHipH9Pu2w+WrXSHyeIO/sekwEQdYo9fR4pT4ASGLhCADWrojuptzukAqvnAaFqjkj7L8R6giJzxPdfs8S933j6FgR2w8UmwpHAs1x1i4OGuOdsAtHz8cZHJr5B9g364/rhaP3T7wPC899PZLCkfE7sTtvqFv/hqMSZ84Lu+4RxMqjRwFcJoRYhFqgfjOAt7R8zQ4AbwfwAwDXA9it67ouhNgB4OtCiE+g1uDuMgD/HsA1NQmriWSnUP35hNmM7/bRw/j6I8frAwAtUztSsjReqb+O8drFUjmxs8xJkdMy2Dt0FfpHdrfNGhu/28HViyFMnxUi2oFO3FV5ilTi8wR5J5vdDHoFqdPJa0l07yMnsPLSC13HNK+zhkHPIFvN4htNswsurisJ210o8RKdJ3jPEk1TbjtWOUAHsOfoqbbrtLqmsHPI8/Ac/mHmRhTEM/XHNlbehXurrwntNVvlcxqGr1uKgeUF255O5qIC0D1/w1GJM+eFXffwXTya3nN8K4BdALIAvqTr+hEhxIcB7Nd1fQeALwL4mhDicQDPopYQMP119wH4IYBJAO8L42QE3rTYc/PzCfrGdHSsiMH7D6Iy1fx4ZQo4M17B3euWtRWwRseKGHzgEKZkm3kJ56Z/oLLfbbFUxuADh1Ax/Qx1Hdj2794GOl6wqNs90pAnyLuspJFo1m7a04M05uyqrru+ObcapA4+cAjDO47gTLkS6YAtqMFiEra7ULIlPU/wnqUmzi1OfsdzYbXEmI0yHpxxJxZnnq4/9pHKzfhi9XdCeT07pXIF67cdxF0PH1H6+m78G45CnDkv7LpHID2PdF3/FoBvtTx2h+n/zwF4k+R7Pwrgo0FchwxvWuyp/nxa9wnP7dVw57VLPQecWuHoUFvhyDAFNAU083HBZM+pcSCApsJR/bEpPbIkwqJud0l6niDvZI1E/Z5M08ouniWZ25tzq0FqparXc2/Us8VBDBad+pAQAcnOE7xniZ/f8ZxsogNorKh0YyYmcO+MTXh55vH6Y5+oXI9PV9e4fKbgtZ6gZod/w8GLM+eFXfcIoudR4sW9RzfpVH4+RqHHvE/49HgFgw8c8ryHcsuuY6g47D0zApp5/yY5W7VkHgDr360Tr0nEbS8AWRBjUZcoXQqSf7Oyx73yEs+Swk1cVfnatPULCqMfE1GUeM8SHdn9pN/xnN2EhpvCkYZJfFXbjGOz3lEvHH1+8nex8NzWRBSO3JqT0+K+hI4TZ84Lu+6RmtPW/Ih7j27Sqfx8ZIWeStX7ShWVG2QjKaex10Wcth8oNm0/c7Niy0sS8dILgDPRRJ0hqn/LrbnKfNpa0rkZYKqusErbbDFP9KE04z1LNFTuJ72O52QnkBkTHU5xN4sqPqt9Gm/IPlp/bOvka/ChyXcCSO+hPgHvMKdpceW8sOseQg94WXkUVq5cOE3XNQAAIABJREFUqe/fvz/uy+gqdsf1CgBPjlxj+Tm7pp+yo+LN8jkNZ8oV10tJqf345IVDO5W+LyOAt1yxAHuOnlIOOrLfpdMRzmEeJdmthBAHdF1fGfd1xI15Ilp2/5bD/neukkvi5PZIeqtj7a04xVciGeYJbzmC9yzh83o/qcIqtmpZgdkzemwnIQSmsEX7Aq7P/mvjuaqvwgcr78VUB2zisRvHUfeS5YmuWHlE/tnNhMpmVJ1mDwZXL57ueSQvDaVhRjmpzLPSo2NF5f3cUzpwz77j9Y9VVhF57QXAmWiiziD7txzFCUWDqxfbnioTh4yoHULgZYBptcLquXOTTbmSKx6Iosd7lvCF2VtKFlvlYw0dwz1/h3f0fLv+yHeqL8cfVdZjMgVDaKMwZhy0MD4xadkLiVsvyY3k/+VTIsgKPVpWSG9gnU6mGFhewP6nnsXWR47DWAA3Iyug63DshUTO8r0a+kd242SpjIwQvlZvOTV8ZVN6IrISxQlFRi4xF73jNqUDP/Yxk9s6SI1zxQNXWxBRVNzeT7qNT+bY2j+y27KY0qsJ3Kpvw3t7RuuP/aD6Ury98j8xgXT0B8oIYMv1l7flkdaVVwK1SZ3+kd2M7aSExSNSYgQTN6etOc0ejI4Vse3fT8C8c3LC4gSwuM2ekcXZifT1WzozXqknxSBOPbKb9WEvACKyIluxGvQ2s00DfQDQVkDKCOB5s7TIV7FmA24iEfSKB9UBVxQrx4iIDG7uJ/3GJ6v72j/K7sD/zH6j/vHpOUvxqp/dhjJmuX4vcdL19p9Bax9U844ExnZSxeIRKXN78+o0ezC844jrFUb5nIbzk1ORNs/WshnkNFi+phF4vRzx6VY+p+F3L/8VbD9QVHr/UwrP6ea67VYRsSk9EVmRHY0cdHEFqBWQVl56YVscimNVUhAF+7C4GXBFsXKMiMjg5n7Sb3wyj1Pemv02PqJ9pfHJ578Yf3/FVnzgoSdQTWHnVdnhN8ZYzqq3FGM7qWDxKELdsPTb/B7n5DRoWYGKaTWRQOMYebczwTkti+HrlgJoVM1lA5Mgya4zKwRuvOIS7Dl6KpJmrbNn9tRn1+995ITv961lBapTOlqfRgDoyQjX/TWi7gXQDf+eiNJOFqequo7RsWLg/2attnuFVTjSMkBFUqUvJHjLrpsBV5j9R8gb5j5KEy9/r6r3k37j0+DqxXjkoc9gc+av64+d0vN49A07MTFzLjY+eDjREwF2nOZnOi22My5Gh8WjiHTD0u/W91gqV9rOINDROEberVla7dnMSUX1VJowVHVdeRVQEE6WyhgdK2L7gaLnZJYVAlO6jvn5HM6et24S2DsjCy2bUd6eGIdu+PdE1AlkRyMDCPXfrHEjGWZhX1Y4inPLrsoNtJtBA/vZJQtzH6VJ2H+vc3LWW5KV4tORhzDwzXdgYHqgclafiRtnfQ7vfP2v11fmxDG2UNGrZTB39kycLJWla6JKFr2czMKI7XEVcBgXo5X+8wVTwm6mr1NYvUere2vjfc/ttV5SKVDrM9Tq9HgFGx88jNGxou1rRinK156fz/l+vx+/4XI8OXIN9g5dhTOSFVVnJ6pNyficbIQUo27490SURKNjRfSP7MaioZ3oH9ndFI+tDK5ejJzWHs+B8P7NGjeSUawIbZUVApvX9MVyw2p+3zoaN9CtvyPZ4MDqcavfH/vZxYe5j9IkzL/X0bEizk5Mtj2uZeQH+QAA/u+3geE5wP3vqD+0Zubf4GXnv4xnRGNiO478oWqmlsXeoavw5Mg10lWuTkWgoGO7av4JA+NitFg8ikinLQ+04ua9nCyVcee1S6Fl29dV6oC0QXW5UsVt9x3CoqGdWP7hb7sK7mH02IiKEdD9/L3M7dWaBjSqswtJDMDd8O+JKGm83BwOLC9g85o+6efD+Dcb56TClK7HNtOpegPtZtBg/P4K+RwEaivJ4iqOEXMfpUuYf69bdh1raothuGBWj3V8evJfa0Wjr7+p/tB3XvMtvKS6Df9x5pfqOW3DtoNYOLTT9/WFyXxCnNciUNCxPc4CDuNitLhtLSLdsPRb9h5lX2sEqNvuO+RqG5bxtVbHa9q58YpLIt1mFpSCaemn+bQ7N3JaFndeu7TpMasTLWSSFoDD/vfEvdNE7bw2Jx1YXpBuIQsjB8Y5Y6zyfmTxxW/cUb2BdnvAQdT97EiuG+4lqV1a70nC/HuVxbu27VonHgW++Nrmx/7o+8AvL8Wwxda0NHQ4yrTMhc/sydTfh5tWE0HG9jgLOIyL0WLxKCLdcJS51XvUMgIQaGuaXSyV0T+yG4OrF2MqomZ0UZ+240fB4uZAtkRXxtzfyPxcrU3NZ2kZlMYrtn2QkhaAw/z3xL3TRNb83BxGlQNHx4qRnH4pY34/VgM+AJbxZf9TzzZNbniJO25uoFkQSqduuJekZmm+Jwnz79Ux3v30MPD532j63Ltm/CV2/+JizP/yzzC4Op+4iVFVUzrqK35bf75xtZqIs4DDuBgtFo8i0g1Hmcveo/FYsVRuuqk3EqCs4V3StZ4kF5RCPoe9Q1e1PS5boivzS7N6MHzd0rYCVGtT85yWxd3rltVnvtMQgMP898SjqYms+bk5jCoHbtl1LBEzx7IBn3mG2FCuVC1P0HQbd3gD3fm64V6SmqX5nsTr36vKSitZvLvrVVpte5rJ9/q/ilv+dSbKv2iOx2kdfwCobwdLyt9GnPmHcTFaQk/hEYQrV67U9+/fH/dlpF7Uy2CXf/jbllvN5vZqOFeZctw+lRG1ansSCAHcfcMyrN92UPo1dqcMOT4/0PY7WTS00/WgKKdlm/Yw94/strwmc8EqrcujgyL7OQsAT45cE/XluCaEOKDr+sq4ryNuzBPBkxWXg+iBE1Tc8RIng2TEUlmsdctt3HHzc+z2WN/NmCfSkyPSfk/ilps8Y45hK573Czww8Z7mJ7t5O/Di10rjser4Iw5zezXoOqTFLWPnmpe/jdYdCEKgvgPBTx5gTukssjzBlUddKuplsKNjRWmPotJ4BXevW9YUyP77/CSqpkqRlhVY94pLsO3RE6Gs9nHr7htqK3Vk/ZoE4GsAYW5GC9R+J256ShlaZyBUtp10+3YG7p0mshbW7F6Q+chLnAyS8dput0NkhbDMJW7jjmr8TvNWGKJu0m33JG5WWg0sL2DgRQL41OXAxETjEzd8DXjpdfUP7foj3b1uGf7swccw7nO7V6+W8f0cBqNP6cDyAl7y5/+AssXzzslpmD2zx/XfhtUOBIPfPNDt44duwdPWulTUXfHveviI9HNG82zj2MnZM3uaCkdArWfSnqOnMHuG93pnRgDZ1i5zHvRqmXpwvPGKS6xfKyMwOla0PaZaRblSxfCO2s/O63OZk6abI5q7FY+mJpIzx+q9Q1fZ3iiOjhXRP7Ibi4Z2on9kt/RUtiDzkezf78yeaG53jBQji6lzezXL67vxiksijTs82pgoHbrtnkS5t97ZnwMfWwh84iVAdbpw9HtfAIbPNBWOAHk81gEM7zjiu+hTyOfww4+8ATnNf54RQNMqq1mS+34hvP1tOJ1GyjxATlg86lJRdMU3Bg4Lh3banoxmBDnj62WzxidLZZzxuDd5bq+GOTmtrSjlxZoVF9f/f9NAH2bPaA/s1Sm9PkuyeU0fssJ70apUrmB0rGh5rObcXs3x+81J022iUR38dRIeTU3knzG7WSyVm1ZSWsWQIPOR7N+vnyK+G1N6bYu20ePPzJhNtrq+TQN9kcYdHm1MlA7ddk/iOMlZLgGf7AO2vAgon649ds0nakWjy9dZfq/d5KtTzyOVu/diqYyFQztxbtL/yqM5Oa3pd9t2epzpcS9/GyoxnnmA7HDbWpeK4qhzlWPg89NBcnSsiMEHDtluSZufz2F8YtK2EGXW2nh60dBOtYt3cO8jJ7B13/H6lo3xCev3aARfI4ir/Dxk1m87iP1PPYtNA81Jwek9tRaG3Gw76eZtDVx6S+SPm60HQecjq3+/G2z60wXNyFE6UD8kovUEzbjjS7dthSFKs266J5E1Xh56zcXA514F/D/TTobXfQTof7/jc5rvfd1sa3Z7cmcQbYRbi1lOsdrt34bK1u7WPMBeRmTGlUddKuxlsE7LIg3D1y0FUNvWZlc4EgBWLZmH586pHVVvfi/G6pmgOiVVdb1pJn1Oznr1jzn4mmcHZJx21N2z7zhuHz0sfQ0rVjMQqttOuK2BiLxys7Ilim0ZcRVFjMKRyhY/1ZVaQei2rTBElA6tq2kWzcni3+aN4Nqdr2gUjl49VFtppFA4Mj/v3qGrlFYSGeLosCqAprgfdKxWaYFhfu6ocxMlH1cedakwGp+aK9MqATdvWprptJpIB7Dn6ClUFLad5XNa/Yh61RVQXpUrVQjobbMTVoHdmB2QnZyh684nyt37yAlsGuirf7xqyTzcs++45dfefOUCX79PbmsgIq/crGyJ4phdq9nsqKjEzKiP4+bRxkSUVAPLCxjomwd840bg8e8C56c/8eu3AldvqjX88WhOTlPaqhbX0Tw6UJ+kNR8kNEvLOJ6IprJCyPhYduBPvmXbXNS5iZKPxaMUCXrZYJDLYN0WaXJatr7qSMXcXk25aDF7Zk/TjXHYg4XWRnsCwNoVhXrxqvV3ZjeoclpKag70t48exlaLwpEAcNOVC5qKTF5wWwMReSXbeiCbLQ16W4ZV7F27oiAttodJJWbGUazvpq0wRJQSU1XggXcCPxxtPPbytwPXfspX0cgge4qMqE3izs/nbCdmo2Cs7jGfiJbTsrh73TJpzHbTakLWTsNqbMaJZGrF4lGC2BWHkt5/RqVII+v9ANQq3XYzAUZAV9mrbA5ocQQ3Y5WU7He2dkUB2w8ULQdVTvuxjcbbo2NFbN133HJmZH4+57twBLgf/BFRd7LLXWGvbLF6bQCWsXdWACfheDE+MVk/9ECGxXoiSqpIet5MTQEP/zEwdk/jsZetBdb8LZAJ7sADWQNqXQeeHLkGALDsrm8H9npeCMC2bYTV78LtCiHVHM3cRK1YPEoIp+JQ0pcNOhVp5vZquPPapdJllk6TCWfKFQxft1RpdZM5oMmCXj6nYfbMHleN89wolsrS39m9j5zAjVdcgj1HT1kG7MH7D0m35914xSUAasFetqTW+F34Tfbc1kBETpxyV5jxQvbas7SMZeyNY8saUNuW7TTZw2I9ESVR6JPXug7s+jNg3+caj112NfDmrwNZ5xOF3XIqhoyOFR23tYVNdn/fuiLJ/LvwskJIJUczN1ErFo8Swqk4lPRlg06rgnpn9EgLR6oFodZixpychrMTk02NtrWMwPjEJBYN7awvPbVa5WMsy9yw7WBo+5plP4+qrmP7gWK9mbVR5Nmw7SDm5DTYHfS55+gp3PS3P7D9Wc/P5wJL9tzWQER24pzYkL12XEUiO04/ExbriSiJQo3xuz8K/OtfNj5e8CrgrQ8B2ix/z2vDqRiS5ENhMkK+IimsFULMTdSKxaOEcCoOJX3ZoFMzUtn7U9nuZg7qrcUM8+oao5hkNN8ulsrYuu84XvWiC/HjZ8ptQS/IE9jcMi8/bd3XbKdYKtsWjgRQ3/6W5JVqRNQZ4pzYSMrkCaDWYNXpelmsJ6KkCSXG7/0U8J07Gh+/oA/4/X8EZl7g/TkV2RVDRseKoe1ICILsQJ2TpTLuXrcstBVCzE1kxuJRQjgVh5KybFC2Fcqpe7+syGWXfMT091lVuFuLRvlezfLENh3A93/0rGWTubgHHiclW9v86J1R2xcuS35JTopElD5xTmzIXltMNz6NigAwoyeD85N260aTM9lDRKQq0Bj/6BeBnR9sfDx3IXDLvwC5vPcLbKF64pjVuOK2+w8Fdh1RstqdwRVCFBYWjxLCqTiUhKCg2tvCTZFLlpQK+Rz2Dl2ldB1Oq3WMYy/NzcftegZFZX4+F3gB6+xEFRsfPCwdPGUDOKmCiMgQ58SG7LWj3ramA46FI/aIIKI0CiTGH/oG8NC7Gx/3XgS87xFg9kUBXqm//kwfeugwqrKlPQmRz2k4PzllO1ZksYjCxuJRQqgUh+IOCipboZzeR+uMgKwnkV1S8rJap1gqY3SsCKC9uBWWjJAvMVU9Xc0Lu/dmtSqMiMirOCc2ZK8dRlx1a26vht4ZPZwBJqJU8xXjf7gDuO+tjY97ZgHvPwg871c8X4/T6Z5eWzacnUherzwzLSMgpnseZYVAVdctT68mChuLRwkSd3HIieq+Z9n7sJoR2H6giLUrCtKTx6x4HRRsfPAwZva0n8Ljxc1XLsDWfcelq5e0rMC6V1zSVhgD2k+ei6qYBdRWdHkRyTGtRJRKceYu2WtHGVetlMYrGLvj6then4goKK5j/H99F9i6tvmxDzwGzL1U+i0q95lOK4uSfriQV71aBpUpvd6eo6rryGlZrFoyr37gDu/NKSosHpEyv/ueZTMCe46ekm5Rs2JU3N2yO4VHpdmpoVfLYOWlF+LeR05YXkdWCGy5/nIMLC9g5aUXOq4mA5pndOyKY1khcOUL52LfE6dd/wy8bptwswyYRSYiips5rhZLZVfxPSjsb0REXefH/wZ85Zrmx27dD1x0me23qd5nOq0s8jNOiSNPtMpmRNvWuZuvXIA9R0+1va9ypYp79h2vf+z1VGUit1g8ImV+9z27nRGQFSKciiZaVqBSdZcC5udzGDed1CaT07JYs6KAjQ8etryOnJbF5jV9Tdv4nIK4+WtGx4rSpuMCwMdvuLzttLkN2w46Jrx8TsPwdUs9JRTVZcB+9poTEQXJiKv9I7sj38LG/kZE1FWePgD875ZJ4PfsBV7wMqVvV73PdBpH+Bmn3HTlgqZijFt+i08CwI2vvMRyJ8aioZ1Kz8FTlSkKLB6RMr+9LdzMCNgVIgo2q3OMIom0ACOAWT1Zy8QyvOOI5XMaLabN/TSsVjBlhWgqHBnvQ/XnZbxnWeHopisXWJ4YsX7bQcvnM5s9s8dzMlEt+vnZa05EFIYotivktAxmaVmUxitccUlE3eOn/wl8vr/5sT/4J+Dila6eRvU+02kcodJ3dXjHkfpBO+Y2EpsG+gCgbVeBXf9SM336+Yw8sGrJPMsVQ3bfL9uJ4bQrwSztW/Qo+Vg8Ilf89LZwMyMgK0TIikKGs+cnAcgbQ+s6sHlNn2Vi2SApwugAPrluWf19y75uStd9rcS56+Ej0qJU64ojM7timsFPMlEt+nXqXnMiShdz0T7jcZuzO6Kpjx0RUUf7+ePAZ1c0P/b2vwcW/aanp1O9z1QZR9j1XR28/xAqpkrQ6fEKBh84VP++TQN9WHnphU2v4fYAtjk5DcVSGffsO465vZqr75XdLw+uXqw0UQyobdFjiwnyg8UjioyblUuyAOo0CKhM6diy65i0oFLI56SJxa6yby765Hs1y+1t+ZYk4WYlzuhYUbplrrUo1coqmbby039Dteg3J6fVZ3NaHyciikJr0T6KEybTuMKSgwcicq10HPhkX/NjNz0AXPY6X0+rep/p9kTn1pPYKhaVoEpVb4rfdrsLpnTddkKi9T7eqRVGK9m9+sDyQtOKKZnWn5nVzwMAW0yQLyweUaRa+/vITgmQFSJUnCyVcfe6Za73PdsVYcyDA9lYpPVxNytxtuw6Jr0up8KP8TO76+EjlokqmxE4e34Si4Z2ehokqBb9hLD6bvnjRERBk934h83PCsuoCznsT0dErvziJ8CnlwGT5xqP3fBV4KVvDOTp3UwuuznRecO2g9j/1LPYNNBnG6PNn5N93ZSu48mRa3D76GFfvZFkBGA7Rhm+bmnbGEXLCFwwq8dyy7Qszs/S2k+dTuMECMWHxSOKhdPNq5+CQ2b6m2Xb02SMz8mWhhoJ5YykqNX6uN0y3NbBgt22M1kyaX0OWVGrOqXXC3FeBwkq2xVLkhmW0+MVz4UrIiI34tom27ryVFUchRz2pyMiJWefAf7qlcD4zxuPDfw1sOwtgb+Un7YYgHVc0wHcs+84dj72E9tm1uZJWqd79+0Hip6v0Y4OSCfUAfd9Z2VxXja5whYTpIrFI4qF082rrBChoqrr2PjgYWxe02fZeM7OwPJC/XjnVkZy8bs3e9WSeW2DBdkpDfmcZrnFrXWVkZvThMIaJNgVwXRwdpuIwuemsWiQvO6Oi6OQw/50RGTr3Bngb14NnH6y8djv/C/glX8Y3zU5sItfdtvHtKxomqS120LndWVrQfFEZyN3ta6aMlgV2GQrV93Gcz/tLai7ZOK+AOpOTjevfoOYcfPtZHSsiP6R3Vg0tBP9I7trDfVWL0ZOyzZ9nXnLm9PnDQPLC9i8pg+FfA4CteSxeU0f9hw9ZTk70rrYKqdlMXzd0rbr3fjgYdf7qFuFMUiw+rm0Uv29EBF5oRKHvNAyAhmbFbGyFalO4ijkyPIrBw9EXW7iLPD53wBGFjQKR6+9Cxg+k+jCEeAtfs3t1bDl+svbVvhY3bt7KcgAjeLUndcubbvPt6MD2LrvOEbH5CudjDFBsVRumqQdHStKfx75nKY0hiGS4cojioXT6h2ryn82I1BtaXaX07Kel2DKtgtsXtNnu+XNvHS0WCoj+//bu/8ou+v6zuOvd2YmcFM1k0gWw2AibCGpmi7RWaXmUE1Ag26VKbCuXVA8ixXrdrcFm9NwtIu2niY2Z390/XF2qZVid6VBoTGK3QiErB40LoMJRNQIUpEMESIwqZARhsln/7j3Zu7c+X6+3++93+/9/rrPxzlzMnPnzuTzmTvzfn+/788vszlFkfYk1D5KEHaq28hwLXQ6alr7eSS5SfCNcrRPqfUNxDO6DaBXmnEo6mTOTr3o5MHQon1UTPXFzbgzWdPUycmnAPrA9C+lv/1t6affmn3sNzdJGz6SX5sitMfU9auX6X/v/Wno8rRWI13sq9TpzNYli4bmnMQ5/shTHbWxuZSt06Vp23Yd9Mb55qA0ByagWxSPkIuoi1ff2t6gx6KWmfmEBd27N2+ItT9SN3tV+JKPSVq/epnu+uERPTY5FViMSqPwkuQmIWp/jtaEu27r7sxvigBgbO2It0jfraePTXuXF0dtdBoWN/Mo5HS6dwaAipqZlv7uMunBXbOPvf73pAu3FPq0k6CYesu9E3rDP1+qb/34qVjFmW62UohzurFUj+HN2UqtPj62RqMrl3Y0uBF3o+/2x6PiPPEe3aJ4hMw1Rwumpmc00DjyMmgEwFf5D3qsm4tvX9CdmJw6scFzazEn6NjPbvaq2LRxla7evn9ecmtOUW0+HpTYku7nETbSEkcnfWZ0G0BeerH3ke9S/7JzV4TG1KiBiuZzsizkJN2cFkCJHZ+Rbv1d6Xu3zD629nLp7Z+UFhR/RxNfTP3Jk/XTluMca9/8mg/dfJ+k2evssNMvm/9Gff+we4GxtSMaf+Sp2Ce2hQ24Rs1cJc6jFygeIVPtowUzzp0oKHQb4LodRY2zwXNrcG8v5nS7V8XY2hHviW7tNyftCcg36lEbWqAXjjtNzwTf3vhGQTrVSZ8Z3QaQl7gjxEkNDZhGVy4NfU5U3OQCH0AmnJO+8gfSd2+cfeyVY9Kln5MWpL9XXK9ExdTnXjg+53HfrFFp9pCdpqgVBc14/ZEdB0KXoIXdC9z1wyPez7W3O2zAlUFa5IHiEU4Iq7anpVcny3Rz8d3NzUVrW5PsVTHSwah4awIKK8i0vn6La0MykyaPTaf6WnbaZ26KAOShGXd8hfq0TM+4yPyVx75GAHCCc9LXPyJ9+1Ozj/3qBdK7bpIGF+bXri6FxdSg+wwnnVjpEKR139K49yhRS9CC4nvzOj3O9b8pelYrg7TIA8UjSIreyyYtWZwsE7cIFneDZ19bk1T8g77WNzLSnoDClvP1OmEwygGgLMbWjngv1JtLeNOYnRSVv4ibAHKzZ6u0Z8vsxy8/V3rPl6Whk/NrU0K+mLp+9TLvcrDmSoduDtnxfS5o/9NmW9rje/t9VpABMx13rqMiEIO0yBrFI0jq3Yygdr0ege20CBZng2dfW5NU/IO+dv3qZbrl3olC32AwygGgTMIKN+3xbEHIyHSYqPxF3ASQuW99sj7bqOnUV0v/bpd00ovya1NKwq6hfZoDBlEzhTq9R4kb36NOS05rewmg1ygeQVI2M4Kk3o/AximC+WYmxRmFbm9rkop/0NeOrlxa+BsMRjkAlEWcE2dac0OnM5Hi5i/iJoBMjN8gffUPZz8eXiFd9Q2ptiS/NvVAe0xdt3W3N3a3DhiMP/LUvL2KWuN4N/coceJ72P1U0sNsgCxRPIKk7PZk6PUIbFQRLM7MpPaRDN9pa72Q9AYji32rACBPnca5uHG1PQcsrg1peua4nn3eX0xipBhAIdx/c/0EtabaUun375F+5ZT82pShsOJMM07v2DehW+6dmFM4MkmXvHZujujFdbTvPmtkuKa7N2/Qjn0TWrd1N9fvKLxExSMzWyppu6RXSPqJpHc6554OeN4VkppzJz/unLux8fgeScslNf+a3uKceyJJm9CdLPdk6OUIbFQRLGpmUplHh7PatwroBHkCaep1nAsazX72+eCbkiWLhoitQArIEwn84CvS9stnPx5YKP3BfdJLTsuvTTkIK860DgwEbabdevpZr+4Dwu6zuH5HmSxI+PWbJd3pnDtL0p2Nj+doJITrJL1e0uskXWdmrXMnL3POndN4649AX0Bja0e05eI1GhmuyVQPtmUcUd20cZVqQ3OPG20tgmW1PK9XmiMTZ2y+Teu27taOfbPru8MKY0COyBNITdpxLiymSuG54bq3v6qr/xPAPOSJTj10p/TRxXMLR/9xv/QnR/qucCRFX/9L8e8BovJCN8Lus7h+R5kkXbZ2kaQ3Nd6/UdIeSX/c9pyNkm53zj0lSWZ2u6QLJd2U8P9GyvKcddPpMoT257cuL6sNLZBZ/WTSAbM501HLfGRy1MhEJ4UxlrchQ+QJpCbpAEAFtli2AAAak0lEQVRr7FtcG9Kzz7+g6Zn6IoaJySldvX2//nD7/hN7UPhyxnAt/1lHYXGcGI+SIU/E9ci3pBveOvexf3+PtOzsfNqTgTjxLM62GHHuAaKutZPerzSf33z86u37vac9l2VgOwr5qFqSFo9Odc4dbrz/M0mnBjxnRNKjLR8fajzWdIOZzUi6RfUpqJ0fdYJS63S6ZtDzW4/mPDZ9/MT7M87plnsnNLpyqXdT7KKdaOYTteQubmGM6bHIGHkCqYmKc1EFldbYNzk1Pe/7NH+xmnHxNSsWB/5/v/UvlqfUo+6ExXFJxHiUDXkiysR3pb9aP/exq74pLf/1fNqTkU6uWaMGwePcA0TNAkp6v3LtrQc0/shT805XDlKGge0o3HNUT+SyNTO7w8y+F/B2UevzGkG600B9mXNujaTzGm/vDmnH+81s3MzGjxw54nsaSqjT6ZpRx122a/1eZV6eFzXiHmfKrsTyNqSPPIGshMW55kXqxOSUnGYvUptLDrrJHXsfnrftiqS5e2TkISyOE+NRREXIE6XMEY9/v748rbVwdOXt0kePVr5wJKV7zRrnHiBosKD5eBr3K1PTM7rpO49G5qKyDGxHIR9VT+TMI+fcBb7PmdnjZrbcOXfYzJZLClpjPKHZqaiSdLrq01HlnJto/PsLM/uC6muYP+9px/WSrpek0dHRao0m9LlOlyF0M42z9WvKtCl26yj6AjPNBAykNUcm4p5kV/Z9n1A85AlkJSzOBR3V3Do7s5sYFxRzpfzjZTdxPO82o78VIU+UKkc8+WPpk6+Z+9h7dkpnvjGf9uQk7WvW1nuA1qVjzVwy4LnWHjBL7X7Fl1ek+ulvVVraxT1H9SRdtrZT0hWStjb+/XLAc3ZJ+vOWTe3eIulaMxuUNOyc+7mZDUn6LUl3JGwPSqjTfYh8z4/6P8qmfapnULJpH5mIUxgrwr5PrH/uK+QJpMoX56IuUocXDenpY/OXqoXx3UjknVOi4njeMR7oEHmiafJR6b+9eu5jv7NdWnVhPu3JWa+uWX3LqXyFnRnnNJLS/Yovr4wM13T35g2BRa2yXiMX4Z4D6Up62tpWSW82swclXdD4WGY2amaflaTGxnZ/JumextufNh47SdIuM7tf0n7VRxT+KmF7UEJxl1s1Tz+YmJySdfD9yzr107fEYsAs0ZK7uD/vXolaWoLKIU8gE2EX8FL9EIVO1IYG9Duvf/m8eClJzz73Qq4xKyyO5x3jgS6QJ37xuPTnI3MLR5feUF+e1qeFIyl6qXK3p6L5llMNWPAdRvMQhU5iq+/5QXkl7vLrsiEfVU+imUfOuSclnR/w+Lik97V8/DlJn2t7zrOSXpvk/0c1xFlu1T5CEHYPsGhogRYODujo1HTPKvZZzJzxjaIfd07/uPVfdf1923/ei2tDMpOu3r5f23Yd7PkIR9TG36gW8gSy4tsMdf3qZVq3dXfgBtlhTh5aoNGVSzW6cqk+9pUH5sxampyaznXTzzh5k9mdKIu+zhPHnpI+c670zOOzj130aWnt5fm1qUB8sU5KdjBA2JKy2tBA4Kbaze/bmg9OGgyeh9G8T2gWpJozl5rfZ3Tl0q6WX5dN3C01UB5Jl60BqYhabuWbhTNcG9KvnDSYaUDK6uSAXk71bP688zgFgfXPAHoh6CJ1/eplsU61CfL0sXqBaMvFa7Ro4eC8JW95X9CH5c0y7e0H9KVf/lN9E+wnH5p97K3bpNe/P782FVRQPEtaZPFdYzcLPGHFjl+2nOocNJAQtO1EewGq2+XXZUQ+qhaKRygFX9A8OjWt/de9JdO2ZDVzJs6RolGiZkjlMQuI9c8AeqX9IjXoBqMTzXhYxQt6ADl4/ph0w1ulw/tnHzv/Oum8a/JrUwkljclh19i+YseOfRP60M33zduvqP26Ocm1NdfIKDqKRyiFIgXTsIQVVazpZLlb0qmecWYV5XFDlEZRDADiSCOWhR3QwAU9gFheeE76X5dIP/nm7GP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            "text/plain": [
              "<Figure size 1440x432 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "AMUtEry5QxWQ"
      },
      "source": [
        "This is an alternative plot via matplotlib, equivalent to the sns plot above. \n",
        "\n",
        "The print shows slopes are zero to PC1 and PC2."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "P2v5axbaRIH7"
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}